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Finding the Fourth Proportional to 488,410.80, 731,644.20 and 429,961.20

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Solution

The fourth proportional to 488,410.80, 731,644.20 and 429,961.20 is: 644,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,410.80 : 731,644.20 = 429,961.20 : x
  2. Step 2: Convert to fraction form
    488,410.80/731,644.20 = 429,961.20/x
  3. Step 3: Cross multiply
    488,410.80x = 731,644.20 × 429,961.20
  4. Step 4: Simplify right side
    488,410.80x = 314,578,618,205.04
  5. Step 5: Solve for x
    x = 314,578,618,205.04/488,410.80
  6. Step 6: Final answer
    x = 644,086.12

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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.