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Finding the Fourth Proportional to 417,154.72, 625,719.84 and 101,607.04

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Solution

The fourth proportional to 417,154.72, 625,719.84 and 101,607.04 is: 152,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,154.72 : 625,719.84 = 101,607.04 : x
  2. Step 2: Convert to fraction form
    417,154.72/625,719.84 = 101,607.04/x
  3. Step 3: Cross multiply
    417,154.72x = 625,719.84 × 101,607.04
  4. Step 4: Simplify right side
    417,154.72x = 63,577,540,811.67
  5. Step 5: Solve for x
    x = 63,577,540,811.67/417,154.72
  6. Step 6: Final answer
    x = 152,407.58

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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.