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Finding the Fourth Proportional to 418,082.60, 576,956.22 and 227,097.56

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Solution

The fourth proportional to 418,082.60, 576,956.22 and 227,097.56 is: 313,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,082.60 : 576,956.22 = 227,097.56 : x
  2. Step 2: Convert to fraction form
    418,082.60/576,956.22 = 227,097.56/x
  3. Step 3: Cross multiply
    418,082.60x = 576,956.22 × 227,097.56
  4. Step 4: Simplify right side
    418,082.60x = 131,025,349,788.82
  5. Step 5: Solve for x
    x = 131,025,349,788.82/418,082.60
  6. Step 6: Final answer
    x = 313,395.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.