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Finding the Fourth Proportional to 417,508.48, 625,990.56 and 177,497.92

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Solution

The fourth proportional to 417,508.48, 625,990.56 and 177,497.92 is: 266,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,508.48 : 625,990.56 = 177,497.92 : x
  2. Step 2: Convert to fraction form
    417,508.48/625,990.56 = 177,497.92/x
  3. Step 3: Cross multiply
    417,508.48x = 625,990.56 × 177,497.92
  4. Step 4: Simplify right side
    417,508.48x = 111,112,022,339.64
  5. Step 5: Solve for x
    x = 111,112,022,339.64/417,508.48
  6. Step 6: Final answer
    x = 266,131.17

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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.