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Finding the Fourth Proportional to 542,454.90, 813,203.04 and 205,261.44

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Solution

The fourth proportional to 542,454.90, 813,203.04 and 205,261.44 is: 307,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,454.90 : 813,203.04 = 205,261.44 : x
  2. Step 2: Convert to fraction form
    542,454.90/813,203.04 = 205,261.44/x
  3. Step 3: Cross multiply
    542,454.90x = 813,203.04 × 205,261.44
  4. Step 4: Simplify right side
    542,454.90x = 166,919,227,002.78
  5. Step 5: Solve for x
    x = 166,919,227,002.78/542,454.90
  6. Step 6: Final answer
    x = 307,710.79

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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.