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Finding the Fourth Proportional to 417,323.46, 626,034.06 and 132,914.10

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Solution

The fourth proportional to 417,323.46, 626,034.06 and 132,914.10 is: 199,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,323.46 : 626,034.06 = 132,914.10 : x
  2. Step 2: Convert to fraction form
    417,323.46/626,034.06 = 132,914.10/x
  3. Step 3: Cross multiply
    417,323.46x = 626,034.06 × 132,914.10
  4. Step 4: Simplify right side
    417,323.46x = 83,208,753,654.25
  5. Step 5: Solve for x
    x = 83,208,753,654.25/417,323.46
  6. Step 6: Final answer
    x = 199,386.71

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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.