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Finding the Fourth Proportional to 417,397.36, 625,964.64 and 136,849

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Solution

The fourth proportional to 417,397.36, 625,964.64 and 136,849 is: 205,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,397.36 : 625,964.64 = 136,849 : x
  2. Step 2: Convert to fraction form
    417,397.36/625,964.64 = 136,849/x
  3. Step 3: Cross multiply
    417,397.36x = 625,964.64 × 136,849
  4. Step 4: Simplify right side
    417,397.36x = 85,662,635,019.36
  5. Step 5: Solve for x
    x = 85,662,635,019.36/417,397.36
  6. Step 6: Final answer
    x = 205,230.42

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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.