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Finding the Fourth Proportional to 417,255.96, 625,720.14 and 147,326.52

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Solution

The fourth proportional to 417,255.96, 625,720.14 and 147,326.52 is: 220,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,255.96 : 625,720.14 = 147,326.52 : x
  2. Step 2: Convert to fraction form
    417,255.96/625,720.14 = 147,326.52/x
  3. Step 3: Cross multiply
    417,255.96x = 625,720.14 × 147,326.52
  4. Step 4: Simplify right side
    417,255.96x = 92,185,170,720.11
  5. Step 5: Solve for x
    x = 92,185,170,720.11/417,255.96
  6. Step 6: Final answer
    x = 220,931.94

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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.