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Finding the Fourth Proportional to 542,826.80, 814,288.80 and 227,218.40

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Solution

The fourth proportional to 542,826.80, 814,288.80 and 227,218.40 is: 340,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,826.80 : 814,288.80 = 227,218.40 : x
  2. Step 2: Convert to fraction form
    542,826.80/814,288.80 = 227,218.40/x
  3. Step 3: Cross multiply
    542,826.80x = 814,288.80 × 227,218.40
  4. Step 4: Simplify right side
    542,826.80x = 185,021,398,273.92
  5. Step 5: Solve for x
    x = 185,021,398,273.92/542,826.80
  6. Step 6: Final answer
    x = 340,847.94

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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.