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Finding the Fourth Proportional to 308,470.70, 462,534.11 and 95,178.05

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Solution

The fourth proportional to 308,470.70, 462,534.11 and 95,178.05 is: 142,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,470.70 : 462,534.11 = 95,178.05 : x
  2. Step 2: Convert to fraction form
    308,470.70/462,534.11 = 95,178.05/x
  3. Step 3: Cross multiply
    308,470.70x = 462,534.11 × 95,178.05
  4. Step 4: Simplify right side
    308,470.70x = 44,023,096,042.57
  5. Step 5: Solve for x
    x = 44,023,096,042.57/308,470.70
  6. Step 6: Final answer
    x = 142,714.03

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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.