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Finding the Fourth Proportional to 417,202.32, 625,827.68 and 161,036.36

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Solution

The fourth proportional to 417,202.32, 625,827.68 and 161,036.36 is: 241,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,202.32 : 625,827.68 = 161,036.36 : x
  2. Step 2: Convert to fraction form
    417,202.32/625,827.68 = 161,036.36/x
  3. Step 3: Cross multiply
    417,202.32x = 625,827.68 × 161,036.36
  4. Step 4: Simplify right side
    417,202.32x = 100,781,007,640.13
  5. Step 5: Solve for x
    x = 100,781,007,640.13/417,202.32
  6. Step 6: Final answer
    x = 241,563.87

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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.