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Finding the Fourth Proportional to 386,727.20, 580,528.20 and 209,142.80

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Solution

The fourth proportional to 386,727.20, 580,528.20 and 209,142.80 is: 313,950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,727.20 : 580,528.20 = 209,142.80 : x
  2. Step 2: Convert to fraction form
    386,727.20/580,528.20 = 209,142.80/x
  3. Step 3: Cross multiply
    386,727.20x = 580,528.20 × 209,142.80
  4. Step 4: Simplify right side
    386,727.20x = 121,413,293,226.96
  5. Step 5: Solve for x
    x = 121,413,293,226.96/386,727.20
  6. Step 6: Final answer
    x = 313,950.75

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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.