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Finding the Fourth Proportional to 523,115.10, 784,672.65 and 405,017.10

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Solution

The fourth proportional to 523,115.10, 784,672.65 and 405,017.10 is: 607,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,115.10 : 784,672.65 = 405,017.10 : x
  2. Step 2: Convert to fraction form
    523,115.10/784,672.65 = 405,017.10/x
  3. Step 3: Cross multiply
    523,115.10x = 784,672.65 × 405,017.10
  4. Step 4: Simplify right side
    523,115.10x = 317,805,841,152.32
  5. Step 5: Solve for x
    x = 317,805,841,152.32/523,115.10
  6. Step 6: Final answer
    x = 607,525.65

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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.