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Finding the Fourth Proportional to 281,642.52, 422,560.98 and 176,336.04

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Solution

The fourth proportional to 281,642.52, 422,560.98 and 176,336.04 is: 264,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,642.52 : 422,560.98 = 176,336.04 : x
  2. Step 2: Convert to fraction form
    281,642.52/422,560.98 = 176,336.04/x
  3. Step 3: Cross multiply
    281,642.52x = 422,560.98 × 176,336.04
  4. Step 4: Simplify right side
    281,642.52x = 74,512,729,871.72
  5. Step 5: Solve for x
    x = 74,512,729,871.72/281,642.52
  6. Step 6: Final answer
    x = 264,564.92

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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.