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Finding the Fourth Proportional to 386,690.50, 580,035.75 and 137,382.34

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Solution

The fourth proportional to 386,690.50, 580,035.75 and 137,382.34 is: 206,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,690.50 : 580,035.75 = 137,382.34 : x
  2. Step 2: Convert to fraction form
    386,690.50/580,035.75 = 137,382.34/x
  3. Step 3: Cross multiply
    386,690.50x = 580,035.75 × 137,382.34
  4. Step 4: Simplify right side
    386,690.50x = 79,686,668,618.66
  5. Step 5: Solve for x
    x = 79,686,668,618.66/386,690.50
  6. Step 6: Final answer
    x = 206,073.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.