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Finding the Fourth Proportional to 307,661.46, 461,470.31 and 83,034.69

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Solution

The fourth proportional to 307,661.46, 461,470.31 and 83,034.69 is: 124,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,661.46 : 461,470.31 = 83,034.69 : x
  2. Step 2: Convert to fraction form
    307,661.46/461,470.31 = 83,034.69/x
  3. Step 3: Cross multiply
    307,661.46x = 461,470.31 × 83,034.69
  4. Step 4: Simplify right side
    307,661.46x = 38,318,042,767.82
  5. Step 5: Solve for x
    x = 38,318,042,767.82/307,661.46
  6. Step 6: Final answer
    x = 124,546.13

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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.