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Finding the Fourth Proportional to 272,854.56, 409,561.14 and 225,318.19

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Solution

The fourth proportional to 272,854.56, 409,561.14 and 225,318.19 is: 338,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,854.56 : 409,561.14 = 225,318.19 : x
  2. Step 2: Convert to fraction form
    272,854.56/409,561.14 = 225,318.19/x
  3. Step 3: Cross multiply
    272,854.56x = 409,561.14 × 225,318.19
  4. Step 4: Simplify right side
    272,854.56x = 92,281,575,174.82
  5. Step 5: Solve for x
    x = 92,281,575,174.82/272,854.56
  6. Step 6: Final answer
    x = 338,207.92

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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.