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Finding the Fourth Proportional to 454,513.10, 681,769.65 and 201,695.90

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Solution

The fourth proportional to 454,513.10, 681,769.65 and 201,695.90 is: 302,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,513.10 : 681,769.65 = 201,695.90 : x
  2. Step 2: Convert to fraction form
    454,513.10/681,769.65 = 201,695.90/x
  3. Step 3: Cross multiply
    454,513.10x = 681,769.65 × 201,695.90
  4. Step 4: Simplify right side
    454,513.10x = 137,510,143,149.44
  5. Step 5: Solve for x
    x = 137,510,143,149.44/454,513.10
  6. Step 6: Final answer
    x = 302,543.85

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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.