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Finding the Fourth Proportional to 472,374.92, 708,489.33 and 172,785.44

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Solution

The fourth proportional to 472,374.92, 708,489.33 and 172,785.44 is: 259,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,374.92 : 708,489.33 = 172,785.44 : x
  2. Step 2: Convert to fraction form
    472,374.92/708,489.33 = 172,785.44/x
  3. Step 3: Cross multiply
    472,374.92x = 708,489.33 × 172,785.44
  4. Step 4: Simplify right side
    472,374.92x = 122,416,640,619.36
  5. Step 5: Solve for x
    x = 122,416,640,619.36/472,374.92
  6. Step 6: Final answer
    x = 259,151.44

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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.