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Finding the Fourth Proportional to 542,798.70, 814,200.15 and 227,034.11

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Solution

The fourth proportional to 542,798.70, 814,200.15 and 227,034.11 is: 340,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,798.70 : 814,200.15 = 227,034.11 : x
  2. Step 2: Convert to fraction form
    542,798.70/814,200.15 = 227,034.11/x
  3. Step 3: Cross multiply
    542,798.70x = 814,200.15 × 227,034.11
  4. Step 4: Simplify right side
    542,798.70x = 184,851,206,417.12
  5. Step 5: Solve for x
    x = 184,851,206,417.12/542,798.70
  6. Step 6: Final answer
    x = 340,552.04

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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.