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Finding the Fourth Proportional to 417,171.96, 625,386.82 and 150,873.27

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Solution

The fourth proportional to 417,171.96, 625,386.82 and 150,873.27 is: 226,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,171.96 : 625,386.82 = 150,873.27 : x
  2. Step 2: Convert to fraction form
    417,171.96/625,386.82 = 150,873.27/x
  3. Step 3: Cross multiply
    417,171.96x = 625,386.82 × 150,873.27
  4. Step 4: Simplify right side
    417,171.96x = 94,354,154,548.30
  5. Step 5: Solve for x
    x = 94,354,154,548.30/417,171.96
  6. Step 6: Final answer
    x = 226,175.69

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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.