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Finding the Fourth Proportional to 410,296.70, 615,383.48 and 129,777.50

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Solution

The fourth proportional to 410,296.70, 615,383.48 and 129,777.50 is: 194,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,296.70 : 615,383.48 = 129,777.50 : x
  2. Step 2: Convert to fraction form
    410,296.70/615,383.48 = 129,777.50/x
  3. Step 3: Cross multiply
    410,296.70x = 615,383.48 × 129,777.50
  4. Step 4: Simplify right side
    410,296.70x = 79,862,929,575.70
  5. Step 5: Solve for x
    x = 79,862,929,575.70/410,296.70
  6. Step 6: Final answer
    x = 194,646.78

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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.