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Finding the Fourth Proportional to 417,626.11, 626,508.42 and 137,077.75

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Solution

The fourth proportional to 417,626.11, 626,508.42 and 137,077.75 is: 205,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,626.11 : 626,508.42 = 137,077.75 : x
  2. Step 2: Convert to fraction form
    417,626.11/626,508.42 = 137,077.75/x
  3. Step 3: Cross multiply
    417,626.11x = 626,508.42 × 137,077.75
  4. Step 4: Simplify right side
    417,626.11x = 85,880,364,569.66
  5. Step 5: Solve for x
    x = 85,880,364,569.66/417,626.11
  6. Step 6: Final answer
    x = 205,639.36

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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.