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Finding the Fourth Proportional to 354,691.40, 532,031.49 and 165,045.69

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Solution

The fourth proportional to 354,691.40, 532,031.49 and 165,045.69 is: 247,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,691.40 : 532,031.49 = 165,045.69 : x
  2. Step 2: Convert to fraction form
    354,691.40/532,031.49 = 165,045.69/x
  3. Step 3: Cross multiply
    354,691.40x = 532,031.49 × 165,045.69
  4. Step 4: Simplify right side
    354,691.40x = 87,809,504,368.78
  5. Step 5: Solve for x
    x = 87,809,504,368.78/354,691.40
  6. Step 6: Final answer
    x = 247,565.93

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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.