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Finding the Fourth Proportional to 454,713.58, 681,882.74 and 155,218.31

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Solution

The fourth proportional to 454,713.58, 681,882.74 and 155,218.31 is: 232,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,713.58 : 681,882.74 = 155,218.31 : x
  2. Step 2: Convert to fraction form
    454,713.58/681,882.74 = 155,218.31/x
  3. Step 3: Cross multiply
    454,713.58x = 681,882.74 × 155,218.31
  4. Step 4: Simplify right side
    454,713.58x = 105,840,685,474.59
  5. Step 5: Solve for x
    x = 105,840,685,474.59/454,713.58
  6. Step 6: Final answer
    x = 232,763.41

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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.