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Finding the Fourth Proportional to 410,054.70, 615,082.05 and 251,769.90

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Solution

The fourth proportional to 410,054.70, 615,082.05 and 251,769.90 is: 377,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,054.70 : 615,082.05 = 251,769.90 : x
  2. Step 2: Convert to fraction form
    410,054.70/615,082.05 = 251,769.90/x
  3. Step 3: Cross multiply
    410,054.70x = 615,082.05 × 251,769.90
  4. Step 4: Simplify right side
    410,054.70x = 154,859,146,220.30
  5. Step 5: Solve for x
    x = 154,859,146,220.30/410,054.70
  6. Step 6: Final answer
    x = 377,654.85

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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.