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Finding the Fourth Proportional to 363,821.32, 544,724.34 and 185,945.32

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Solution

The fourth proportional to 363,821.32, 544,724.34 and 185,945.32 is: 278,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,821.32 : 544,724.34 = 185,945.32 : x
  2. Step 2: Convert to fraction form
    363,821.32/544,724.34 = 185,945.32/x
  3. Step 3: Cross multiply
    363,821.32x = 544,724.34 × 185,945.32
  4. Step 4: Simplify right side
    363,821.32x = 101,288,941,713.09
  5. Step 5: Solve for x
    x = 101,288,941,713.09/363,821.32
  6. Step 6: Final answer
    x = 278,402.99

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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.