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Finding the Fourth Proportional to 542,791.58, 814,189.46 and 227,026.98

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Solution

The fourth proportional to 542,791.58, 814,189.46 and 227,026.98 is: 340,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,791.58 : 814,189.46 = 227,026.98 : x
  2. Step 2: Convert to fraction form
    542,791.58/814,189.46 = 227,026.98/x
  3. Step 3: Cross multiply
    542,791.58x = 814,189.46 × 227,026.98
  4. Step 4: Simplify right side
    542,791.58x = 184,842,973,116.50
  5. Step 5: Solve for x
    x = 184,842,973,116.50/542,791.58
  6. Step 6: Final answer
    x = 340,541.35

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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.