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Finding the Fourth Proportional to 417,120.22, 625,705.85 and 117,626.97

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Solution

The fourth proportional to 417,120.22, 625,705.85 and 117,626.97 is: 176,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,120.22 : 625,705.85 = 117,626.97 : x
  2. Step 2: Convert to fraction form
    417,120.22/625,705.85 = 117,626.97/x
  3. Step 3: Cross multiply
    417,120.22x = 625,705.85 × 117,626.97
  4. Step 4: Simplify right side
    417,120.22x = 73,599,883,246.77
  5. Step 5: Solve for x
    x = 73,599,883,246.77/417,120.22
  6. Step 6: Final answer
    x = 176,447.65

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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.