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Finding the Fourth Proportional to 410,105.60, 615,043.20 and 129,708.80

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Solution

The fourth proportional to 410,105.60, 615,043.20 and 129,708.80 is: 194,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,105.60 : 615,043.20 = 129,708.80 : x
  2. Step 2: Convert to fraction form
    410,105.60/615,043.20 = 129,708.80/x
  3. Step 3: Cross multiply
    410,105.60x = 615,043.20 × 129,708.80
  4. Step 4: Simplify right side
    410,105.60x = 79,776,515,420.16
  5. Step 5: Solve for x
    x = 79,776,515,420.16/410,105.60
  6. Step 6: Final answer
    x = 194,526.76

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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.