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Finding the Fourth Proportional to 542,970.80, 814,747.80 and 227,459.60

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Solution

The fourth proportional to 542,970.80, 814,747.80 and 227,459.60 is: 341,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,970.80 : 814,747.80 = 227,459.60 : x
  2. Step 2: Convert to fraction form
    542,970.80/814,747.80 = 227,459.60/x
  3. Step 3: Cross multiply
    542,970.80x = 814,747.80 × 227,459.60
  4. Step 4: Simplify right side
    542,970.80x = 185,322,208,688.88
  5. Step 5: Solve for x
    x = 185,322,208,688.88/542,970.80
  6. Step 6: Final answer
    x = 341,311.56

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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.