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Finding the Fourth Proportional to 417,172.46, 625,387.56 and 150,873.77

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Solution

The fourth proportional to 417,172.46, 625,387.56 and 150,873.77 is: 226,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,172.46 : 625,387.56 = 150,873.77 : x
  2. Step 2: Convert to fraction form
    417,172.46/625,387.56 = 150,873.77/x
  3. Step 3: Cross multiply
    417,172.46x = 625,387.56 × 150,873.77
  4. Step 4: Simplify right side
    417,172.46x = 94,354,575,761.36
  5. Step 5: Solve for x
    x = 94,354,575,761.36/417,172.46
  6. Step 6: Final answer
    x = 226,176.43

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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.