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Finding the Fourth Proportional to 542,214.60, 813,330.12 and 205,411.20

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Solution

The fourth proportional to 542,214.60, 813,330.12 and 205,411.20 is: 308,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,214.60 : 813,330.12 = 205,411.20 : x
  2. Step 2: Convert to fraction form
    542,214.60/813,330.12 = 205,411.20/x
  3. Step 3: Cross multiply
    542,214.60x = 813,330.12 × 205,411.20
  4. Step 4: Simplify right side
    542,214.60x = 167,067,115,945.34
  5. Step 5: Solve for x
    x = 167,067,115,945.34/542,214.60
  6. Step 6: Final answer
    x = 308,119.91

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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.