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Finding the Fourth Proportional to 475,672.38, 656,335.47 and 282,044.31

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Solution

The fourth proportional to 475,672.38, 656,335.47 and 282,044.31 is: 389,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,672.38 : 656,335.47 = 282,044.31 : x
  2. Step 2: Convert to fraction form
    475,672.38/656,335.47 = 282,044.31/x
  3. Step 3: Cross multiply
    475,672.38x = 656,335.47 × 282,044.31
  4. Step 4: Simplify right side
    475,672.38x = 185,115,684,764.68
  5. Step 5: Solve for x
    x = 185,115,684,764.68/475,672.38
  6. Step 6: Final answer
    x = 389,166.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.