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Finding the Fourth Proportional to 806,435.40, 1,209,653.10 and 523,000.20

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Solution

The fourth proportional to 806,435.40, 1,209,653.10 and 523,000.20 is: 784,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,435.40 : 1,209,653.10 = 523,000.20 : x
  2. Step 2: Convert to fraction form
    806,435.40/1,209,653.10 = 523,000.20/x
  3. Step 3: Cross multiply
    806,435.40x = 1,209,653.10 × 523,000.20
  4. Step 4: Simplify right side
    806,435.40x = 632,648,813,230.62
  5. Step 5: Solve for x
    x = 632,648,813,230.62/806,435.40
  6. Step 6: Final answer
    x = 784,500.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.