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Finding the Fourth Proportional to 488,458.40, 731,812.80 and 432,471.20

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Solution

The fourth proportional to 488,458.40, 731,812.80 and 432,471.20 is: 647,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,458.40 : 731,812.80 = 432,471.20 : x
  2. Step 2: Convert to fraction form
    488,458.40/731,812.80 = 432,471.20/x
  3. Step 3: Cross multiply
    488,458.40x = 731,812.80 × 432,471.20
  4. Step 4: Simplify right side
    488,458.40x = 316,487,959,791.36
  5. Step 5: Solve for x
    x = 316,487,959,791.36/488,458.40
  6. Step 6: Final answer
    x = 647,932.27

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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.