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Finding the Fourth Proportional to 502,406.40, 753,609.60 and 463,915.20

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Solution

The fourth proportional to 502,406.40, 753,609.60 and 463,915.20 is: 695,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,406.40 : 753,609.60 = 463,915.20 : x
  2. Step 2: Convert to fraction form
    502,406.40/753,609.60 = 463,915.20/x
  3. Step 3: Cross multiply
    502,406.40x = 753,609.60 × 463,915.20
  4. Step 4: Simplify right side
    502,406.40x = 349,610,948,305.92
  5. Step 5: Solve for x
    x = 349,610,948,305.92/502,406.40
  6. Step 6: Final answer
    x = 695,872.80

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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.