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Finding the Fourth Proportional to 311,034.66, 466,572.99 and 105,785.73

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Solution

The fourth proportional to 311,034.66, 466,572.99 and 105,785.73 is: 158,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,034.66 : 466,572.99 = 105,785.73 : x
  2. Step 2: Convert to fraction form
    311,034.66/466,572.99 = 105,785.73/x
  3. Step 3: Cross multiply
    311,034.66x = 466,572.99 × 105,785.73
  4. Step 4: Simplify right side
    311,034.66x = 49,356,764,345.43
  5. Step 5: Solve for x
    x = 49,356,764,345.43/311,034.66
  6. Step 6: Final answer
    x = 158,685.74

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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.