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Finding the Fourth Proportional to 417,507.48, 625,989.06 and 177,496.92

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Solution

The fourth proportional to 417,507.48, 625,989.06 and 177,496.92 is: 266,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,507.48 : 625,989.06 = 177,496.92 : x
  2. Step 2: Convert to fraction form
    417,507.48/625,989.06 = 177,496.92/x
  3. Step 3: Cross multiply
    417,507.48x = 625,989.06 × 177,496.92
  4. Step 4: Simplify right side
    417,507.48x = 111,111,130,103.70
  5. Step 5: Solve for x
    x = 111,111,130,103.70/417,507.48
  6. Step 6: Final answer
    x = 266,129.68

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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.