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Finding the Fourth Proportional to 417,081.33, 625,201.31 and 164,264.13

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Solution

The fourth proportional to 417,081.33, 625,201.31 and 164,264.13 is: 246,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,081.33 : 625,201.31 = 164,264.13 : x
  2. Step 2: Convert to fraction form
    417,081.33/625,201.31 = 164,264.13/x
  3. Step 3: Cross multiply
    417,081.33x = 625,201.31 × 164,264.13
  4. Step 4: Simplify right side
    417,081.33x = 102,698,149,672.67
  5. Step 5: Solve for x
    x = 102,698,149,672.67/417,081.33
  6. Step 6: Final answer
    x = 246,230.51

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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.