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Finding the Fourth Proportional to 392,820.48, 542,073.60 and 223,032

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Solution

The fourth proportional to 392,820.48, 542,073.60 and 223,032 is: 307,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,820.48 : 542,073.60 = 223,032 : x
  2. Step 2: Convert to fraction form
    392,820.48/542,073.60 = 223,032/x
  3. Step 3: Cross multiply
    392,820.48x = 542,073.60 × 223,032
  4. Step 4: Simplify right side
    392,820.48x = 120,899,759,155.20
  5. Step 5: Solve for x
    x = 120,899,759,155.20/392,820.48
  6. Step 6: Final answer
    x = 307,773.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.