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Finding the Fourth Proportional to 417,010.83, 625,279.26 and 164,154.39

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Solution

The fourth proportional to 417,010.83, 625,279.26 and 164,154.39 is: 246,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,010.83 : 625,279.26 = 164,154.39 : x
  2. Step 2: Convert to fraction form
    417,010.83/625,279.26 = 164,154.39/x
  3. Step 3: Cross multiply
    417,010.83x = 625,279.26 × 164,154.39
  4. Step 4: Simplify right side
    417,010.83x = 102,642,335,504.95
  5. Step 5: Solve for x
    x = 102,642,335,504.95/417,010.83
  6. Step 6: Final answer
    x = 246,138.30

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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.