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Finding the Fourth Proportional to 416,259.55, 574,438.17 and 225,272.94

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Solution

The fourth proportional to 416,259.55, 574,438.17 and 225,272.94 is: 310,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,259.55 : 574,438.17 = 225,272.94 : x
  2. Step 2: Convert to fraction form
    416,259.55/574,438.17 = 225,272.94/x
  3. Step 3: Cross multiply
    416,259.55x = 574,438.17 × 225,272.94
  4. Step 4: Simplify right side
    416,259.55x = 129,405,375,404.12
  5. Step 5: Solve for x
    x = 129,405,375,404.12/416,259.55
  6. Step 6: Final answer
    x = 310,876.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.