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Finding the Fourth Proportional to 488,460.40, 731,815.80 and 432,473.20

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Solution

The fourth proportional to 488,460.40, 731,815.80 and 432,473.20 is: 647,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,460.40 : 731,815.80 = 432,473.20 : x
  2. Step 2: Convert to fraction form
    488,460.40/731,815.80 = 432,473.20/x
  3. Step 3: Cross multiply
    488,460.40x = 731,815.80 × 432,473.20
  4. Step 4: Simplify right side
    488,460.40x = 316,490,720,836.56
  5. Step 5: Solve for x
    x = 316,490,720,836.56/488,460.40
  6. Step 6: Final answer
    x = 647,935.27

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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.