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Finding the Fourth Proportional to 463,631.80, 695,447.70 and 402,806.20

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Solution

The fourth proportional to 463,631.80, 695,447.70 and 402,806.20 is: 604,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,631.80 : 695,447.70 = 402,806.20 : x
  2. Step 2: Convert to fraction form
    463,631.80/695,447.70 = 402,806.20/x
  3. Step 3: Cross multiply
    463,631.80x = 695,447.70 × 402,806.20
  4. Step 4: Simplify right side
    463,631.80x = 280,130,645,335.74
  5. Step 5: Solve for x
    x = 280,130,645,335.74/463,631.80
  6. Step 6: Final answer
    x = 604,209.30

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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.