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Finding the Fourth Proportional to 363,909.12, 502,302.72 and 229,862.40

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Solution

The fourth proportional to 363,909.12, 502,302.72 and 229,862.40 is: 317,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,909.12 : 502,302.72 = 229,862.40 : x
  2. Step 2: Convert to fraction form
    363,909.12/502,302.72 = 229,862.40/x
  3. Step 3: Cross multiply
    363,909.12x = 502,302.72 × 229,862.40
  4. Step 4: Simplify right side
    363,909.12x = 115,460,508,745.73
  5. Step 5: Solve for x
    x = 115,460,508,745.73/363,909.12
  6. Step 6: Final answer
    x = 317,278.41

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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.