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Finding the Fourth Proportional to 361,415.10, 542,122.65 and 227,862.30

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Solution

The fourth proportional to 361,415.10, 542,122.65 and 227,862.30 is: 341,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,415.10 : 542,122.65 = 227,862.30 : x
  2. Step 2: Convert to fraction form
    361,415.10/542,122.65 = 227,862.30/x
  3. Step 3: Cross multiply
    361,415.10x = 542,122.65 × 227,862.30
  4. Step 4: Simplify right side
    361,415.10x = 123,529,313,911.10
  5. Step 5: Solve for x
    x = 123,529,313,911.10/361,415.10
  6. Step 6: Final answer
    x = 341,793.45

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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.