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Finding the Fourth Proportional to 454,769.52, 681,862.72 and 188,713.68

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Solution

The fourth proportional to 454,769.52, 681,862.72 and 188,713.68 is: 282,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,769.52 : 681,862.72 = 188,713.68 : x
  2. Step 2: Convert to fraction form
    454,769.52/681,862.72 = 188,713.68/x
  3. Step 3: Cross multiply
    454,769.52x = 681,862.72 × 188,713.68
  4. Step 4: Simplify right side
    454,769.52x = 128,676,823,146.01
  5. Step 5: Solve for x
    x = 128,676,823,146.01/454,769.52
  6. Step 6: Final answer
    x = 282,949.53

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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.