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Finding the Fourth Proportional to 361,462.50, 542,035.80 and 192,944.43

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Solution

The fourth proportional to 361,462.50, 542,035.80 and 192,944.43 is: 289,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,462.50 : 542,035.80 = 192,944.43 : x
  2. Step 2: Convert to fraction form
    361,462.50/542,035.80 = 192,944.43/x
  3. Step 3: Cross multiply
    361,462.50x = 542,035.80 × 192,944.43
  4. Step 4: Simplify right side
    361,462.50x = 104,582,788,470.59
  5. Step 5: Solve for x
    x = 104,582,788,470.59/361,462.50
  6. Step 6: Final answer
    x = 289,332.33

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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.