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Finding the Fourth Proportional to 417,131.16, 625,745.33 and 151,017

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Solution

The fourth proportional to 417,131.16, 625,745.33 and 151,017 is: 226,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,131.16 : 625,745.33 = 151,017 : x
  2. Step 2: Convert to fraction form
    417,131.16/625,745.33 = 151,017/x
  3. Step 3: Cross multiply
    417,131.16x = 625,745.33 × 151,017
  4. Step 4: Simplify right side
    417,131.16x = 94,498,182,500.61
  5. Step 5: Solve for x
    x = 94,498,182,500.61/417,131.16
  6. Step 6: Final answer
    x = 226,543.09

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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.