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Finding the Fourth Proportional to 542,927.90, 814,489.05 and 227,416.70

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Solution

The fourth proportional to 542,927.90, 814,489.05 and 227,416.70 is: 341,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,927.90 : 814,489.05 = 227,416.70 : x
  2. Step 2: Convert to fraction form
    542,927.90/814,489.05 = 227,416.70/x
  3. Step 3: Cross multiply
    542,927.90x = 814,489.05 × 227,416.70
  4. Step 4: Simplify right side
    542,927.90x = 185,228,411,937.14
  5. Step 5: Solve for x
    x = 185,228,411,937.14/542,927.90
  6. Step 6: Final answer
    x = 341,165.76

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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.