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Finding the Fourth Proportional to 281,691.68, 422,253.04 and 176,584.32

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Solution

The fourth proportional to 281,691.68, 422,253.04 and 176,584.32 is: 264,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,691.68 : 422,253.04 = 176,584.32 : x
  2. Step 2: Convert to fraction form
    281,691.68/422,253.04 = 176,584.32/x
  3. Step 3: Cross multiply
    281,691.68x = 422,253.04 × 176,584.32
  4. Step 4: Simplify right side
    281,691.68x = 74,563,265,936.33
  5. Step 5: Solve for x
    x = 74,563,265,936.33/281,691.68
  6. Step 6: Final answer
    x = 264,698.15

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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.