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Finding the Fourth Proportional to 417,265.89, 625,622.28 and 150,991.75

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Solution

The fourth proportional to 417,265.89, 625,622.28 and 150,991.75 is: 226,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,265.89 : 625,622.28 = 150,991.75 : x
  2. Step 2: Convert to fraction form
    417,265.89/625,622.28 = 150,991.75/x
  3. Step 3: Cross multiply
    417,265.89x = 625,622.28 × 150,991.75
  4. Step 4: Simplify right side
    417,265.89x = 94,463,802,896.19
  5. Step 5: Solve for x
    x = 94,463,802,896.19/417,265.89
  6. Step 6: Final answer
    x = 226,387.55

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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.