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Finding the Fourth Proportional to 542,766.30, 814,266.09 and 227,060.70

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Solution

The fourth proportional to 542,766.30, 814,266.09 and 227,060.70 is: 340,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,766.30 : 814,266.09 = 227,060.70 : x
  2. Step 2: Convert to fraction form
    542,766.30/814,266.09 = 227,060.70/x
  3. Step 3: Cross multiply
    542,766.30x = 814,266.09 × 227,060.70
  4. Step 4: Simplify right side
    542,766.30x = 184,887,828,381.66
  5. Step 5: Solve for x
    x = 184,887,828,381.66/542,766.30
  6. Step 6: Final answer
    x = 340,639.85

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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.