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Finding the Fourth Proportional to 354,711.60, 532,395.45 and 177,345.90

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Solution

The fourth proportional to 354,711.60, 532,395.45 and 177,345.90 is: 266,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,711.60 : 532,395.45 = 177,345.90 : x
  2. Step 2: Convert to fraction form
    354,711.60/532,395.45 = 177,345.90/x
  3. Step 3: Cross multiply
    354,711.60x = 532,395.45 × 177,345.90
  4. Step 4: Simplify right side
    354,711.60x = 94,418,150,236.16
  5. Step 5: Solve for x
    x = 94,418,150,236.16/354,711.60
  6. Step 6: Final answer
    x = 266,182.87

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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.