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Finding the Fourth Proportional to 417,138.72, 625,695.84 and 101,591.04

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Solution

The fourth proportional to 417,138.72, 625,695.84 and 101,591.04 is: 152,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,138.72 : 625,695.84 = 101,591.04 : x
  2. Step 2: Convert to fraction form
    417,138.72/625,695.84 = 101,591.04/x
  3. Step 3: Cross multiply
    417,138.72x = 625,695.84 × 101,591.04
  4. Step 4: Simplify right side
    417,138.72x = 63,565,091,109.27
  5. Step 5: Solve for x
    x = 63,565,091,109.27/417,138.72
  6. Step 6: Final answer
    x = 152,383.58

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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.