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Finding the Fourth Proportional to 463,637.80, 695,456.70 and 402,812.20

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Solution

The fourth proportional to 463,637.80, 695,456.70 and 402,812.20 is: 604,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,637.80 : 695,456.70 = 402,812.20 : x
  2. Step 2: Convert to fraction form
    463,637.80/695,456.70 = 402,812.20/x
  3. Step 3: Cross multiply
    463,637.80x = 695,456.70 × 402,812.20
  4. Step 4: Simplify right side
    463,637.80x = 280,138,443,331.74
  5. Step 5: Solve for x
    x = 280,138,443,331.74/463,637.80
  6. Step 6: Final answer
    x = 604,218.30

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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.