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Finding the Fourth Proportional to 354,653.20, 532,003.80 and 144,294.80

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Solution

The fourth proportional to 354,653.20, 532,003.80 and 144,294.80 is: 216,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,653.20 : 532,003.80 = 144,294.80 : x
  2. Step 2: Convert to fraction form
    354,653.20/532,003.80 = 144,294.80/x
  3. Step 3: Cross multiply
    354,653.20x = 532,003.80 × 144,294.80
  4. Step 4: Simplify right side
    354,653.20x = 76,765,381,920.24
  5. Step 5: Solve for x
    x = 76,765,381,920.24/354,653.20
  6. Step 6: Final answer
    x = 216,451.96

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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.