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Finding the Fourth Proportional to 417,625.11, 626,506.92 and 137,076.75

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Solution

The fourth proportional to 417,625.11, 626,506.92 and 137,076.75 is: 205,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,625.11 : 626,506.92 = 137,076.75 : x
  2. Step 2: Convert to fraction form
    417,625.11/626,506.92 = 137,076.75/x
  3. Step 3: Cross multiply
    417,625.11x = 626,506.92 × 137,076.75
  4. Step 4: Simplify right side
    417,625.11x = 85,879,532,446.11
  5. Step 5: Solve for x
    x = 85,879,532,446.11/417,625.11
  6. Step 6: Final answer
    x = 205,637.86

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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.