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Finding the Fourth Proportional to 308,151.18, 461,471.58 and 254,514.96

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Solution

The fourth proportional to 308,151.18, 461,471.58 and 254,514.96 is: 381,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,151.18 : 461,471.58 = 254,514.96 : x
  2. Step 2: Convert to fraction form
    308,151.18/461,471.58 = 254,514.96/x
  3. Step 3: Cross multiply
    308,151.18x = 461,471.58 × 254,514.96
  4. Step 4: Simplify right side
    308,151.18x = 117,451,420,724.84
  5. Step 5: Solve for x
    x = 117,451,420,724.84/308,151.18
  6. Step 6: Final answer
    x = 381,148.70

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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.