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Finding the Fourth Proportional to 389,211.91, 583,842.49 and 164,542.76

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Solution

The fourth proportional to 389,211.91, 583,842.49 and 164,542.76 is: 246,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,211.91 : 583,842.49 = 164,542.76 : x
  2. Step 2: Convert to fraction form
    389,211.91/583,842.49 = 164,542.76/x
  3. Step 3: Cross multiply
    389,211.91x = 583,842.49 × 164,542.76
  4. Step 4: Simplify right side
    389,211.91x = 96,067,054,709.87
  5. Step 5: Solve for x
    x = 96,067,054,709.87/389,211.91
  6. Step 6: Final answer
    x = 246,824.55

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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.