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Finding the Fourth Proportional to 542,906.40, 814,456.80 and 227,395.20

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Solution

The fourth proportional to 542,906.40, 814,456.80 and 227,395.20 is: 341,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,906.40 : 814,456.80 = 227,395.20 : x
  2. Step 2: Convert to fraction form
    542,906.40/814,456.80 = 227,395.20/x
  3. Step 3: Cross multiply
    542,906.40x = 814,456.80 × 227,395.20
  4. Step 4: Simplify right side
    542,906.40x = 185,203,566,927.36
  5. Step 5: Solve for x
    x = 185,203,566,927.36/542,906.40
  6. Step 6: Final answer
    x = 341,133.51

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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.