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Finding the Fourth Proportional to 417,443.14, 626,255.43 and 136,949.86

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Solution

The fourth proportional to 417,443.14, 626,255.43 and 136,949.86 is: 205,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,443.14 : 626,255.43 = 136,949.86 : x
  2. Step 2: Convert to fraction form
    417,443.14/626,255.43 = 136,949.86/x
  3. Step 3: Cross multiply
    417,443.14x = 626,255.43 × 136,949.86
  4. Step 4: Simplify right side
    417,443.14x = 85,765,593,462.74
  5. Step 5: Solve for x
    x = 85,765,593,462.74/417,443.14
  6. Step 6: Final answer
    x = 205,454.55

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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.