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Finding the Fourth Proportional to 342,713.38, 473,046.96 and 221,862.82

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Solution

The fourth proportional to 342,713.38, 473,046.96 and 221,862.82 is: 306,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,713.38 : 473,046.96 = 221,862.82 : x
  2. Step 2: Convert to fraction form
    342,713.38/473,046.96 = 221,862.82/x
  3. Step 3: Cross multiply
    342,713.38x = 473,046.96 × 221,862.82
  4. Step 4: Simplify right side
    342,713.38x = 104,951,532,538.03
  5. Step 5: Solve for x
    x = 104,951,532,538.03/342,713.38
  6. Step 6: Final answer
    x = 306,237.04

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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.