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Finding the Fourth Proportional to 542,844.88, 814,008.48 and 243,327.96

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Solution

The fourth proportional to 542,844.88, 814,008.48 and 243,327.96 is: 364,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,844.88 : 814,008.48 = 243,327.96 : x
  2. Step 2: Convert to fraction form
    542,844.88/814,008.48 = 243,327.96/x
  3. Step 3: Cross multiply
    542,844.88x = 814,008.48 × 243,327.96
  4. Step 4: Simplify right side
    542,844.88x = 198,071,022,861.10
  5. Step 5: Solve for x
    x = 198,071,022,861.10/542,844.88
  6. Step 6: Final answer
    x = 364,875.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.