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Finding the Fourth Proportional to 542,972.80, 814,750.80 and 227,461.60

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Solution

The fourth proportional to 542,972.80, 814,750.80 and 227,461.60 is: 341,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,972.80 : 814,750.80 = 227,461.60 : x
  2. Step 2: Convert to fraction form
    542,972.80/814,750.80 = 227,461.60/x
  3. Step 3: Cross multiply
    542,972.80x = 814,750.80 × 227,461.60
  4. Step 4: Simplify right side
    542,972.80x = 185,324,520,569.28
  5. Step 5: Solve for x
    x = 185,324,520,569.28/542,972.80
  6. Step 6: Final answer
    x = 341,314.56

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1.5x scale

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.