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Finding the Fourth Proportional to 542,708.48, 813,858.24 and 227,187.20

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Solution

The fourth proportional to 542,708.48, 813,858.24 and 227,187.20 is: 340,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,708.48 : 813,858.24 = 227,187.20 : x
  2. Step 2: Convert to fraction form
    542,708.48/813,858.24 = 227,187.20/x
  3. Step 3: Cross multiply
    542,708.48x = 813,858.24 × 227,187.20
  4. Step 4: Simplify right side
    542,708.48x = 184,898,174,742.53
  5. Step 5: Solve for x
    x = 184,898,174,742.53/542,708.48
  6. Step 6: Final answer
    x = 340,695.20

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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.