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Finding the Fourth Proportional to 454,385.34, 681,734.80 and 201,842.72

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Solution

The fourth proportional to 454,385.34, 681,734.80 and 201,842.72 is: 302,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,385.34 : 681,734.80 = 201,842.72 : x
  2. Step 2: Convert to fraction form
    454,385.34/681,734.80 = 201,842.72/x
  3. Step 3: Cross multiply
    454,385.34x = 681,734.80 × 201,842.72
  4. Step 4: Simplify right side
    454,385.34x = 137,603,206,350.66
  5. Step 5: Solve for x
    x = 137,603,206,350.66/454,385.34
  6. Step 6: Final answer
    x = 302,833.73

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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.