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Finding the Fourth Proportional to 386,496.20, 580,032.30 and 199,411.40

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Solution

The fourth proportional to 386,496.20, 580,032.30 and 199,411.40 is: 299,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,496.20 : 580,032.30 = 199,411.40 : x
  2. Step 2: Convert to fraction form
    386,496.20/580,032.30 = 199,411.40/x
  3. Step 3: Cross multiply
    386,496.20x = 580,032.30 × 199,411.40
  4. Step 4: Simplify right side
    386,496.20x = 115,665,052,988.22
  5. Step 5: Solve for x
    x = 115,665,052,988.22/386,496.20
  6. Step 6: Final answer
    x = 299,265.69

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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.