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Finding the Fourth Proportional to 354,640.20, 532,008.90 and 117,958.20

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Solution

The fourth proportional to 354,640.20, 532,008.90 and 117,958.20 is: 176,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,640.20 : 532,008.90 = 117,958.20 : x
  2. Step 2: Convert to fraction form
    354,640.20/532,008.90 = 117,958.20/x
  3. Step 3: Cross multiply
    354,640.20x = 532,008.90 × 117,958.20
  4. Step 4: Simplify right side
    354,640.20x = 62,754,812,227.98
  5. Step 5: Solve for x
    x = 62,754,812,227.98/354,640.20
  6. Step 6: Final answer
    x = 176,953.47

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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.