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Finding the Fourth Proportional to 521,711.40, 782,567.10 and 416,735.40

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Solution

The fourth proportional to 521,711.40, 782,567.10 and 416,735.40 is: 625,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,711.40 : 782,567.10 = 416,735.40 : x
  2. Step 2: Convert to fraction form
    521,711.40/782,567.10 = 416,735.40/x
  3. Step 3: Cross multiply
    521,711.40x = 782,567.10 × 416,735.40
  4. Step 4: Simplify right side
    521,711.40x = 326,123,413,445.34
  5. Step 5: Solve for x
    x = 326,123,413,445.34/521,711.40
  6. Step 6: Final answer
    x = 625,103.10

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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.