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Finding the Fourth Proportional to 410,153.40, 615,230.10 and 233,206.20

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Solution

The fourth proportional to 410,153.40, 615,230.10 and 233,206.20 is: 349,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,153.40 : 615,230.10 = 233,206.20 : x
  2. Step 2: Convert to fraction form
    410,153.40/615,230.10 = 233,206.20/x
  3. Step 3: Cross multiply
    410,153.40x = 615,230.10 × 233,206.20
  4. Step 4: Simplify right side
    410,153.40x = 143,475,473,746.62
  5. Step 5: Solve for x
    x = 143,475,473,746.62/410,153.40
  6. Step 6: Final answer
    x = 349,809.30

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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.