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Finding the Fourth Proportional to 354,677.70, 532,016.55 and 144,207.30

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Solution

The fourth proportional to 354,677.70, 532,016.55 and 144,207.30 is: 216,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,677.70 : 532,016.55 = 144,207.30 : x
  2. Step 2: Convert to fraction form
    354,677.70/532,016.55 = 144,207.30/x
  3. Step 3: Cross multiply
    354,677.70x = 532,016.55 × 144,207.30
  4. Step 4: Simplify right side
    354,677.70x = 76,720,670,230.82
  5. Step 5: Solve for x
    x = 76,720,670,230.82/354,677.70
  6. Step 6: Final answer
    x = 216,310.95

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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.