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Finding the Fourth Proportional to 281,687.68, 422,247.04 and 176,580.32

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Solution

The fourth proportional to 281,687.68, 422,247.04 and 176,580.32 is: 264,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,687.68 : 422,247.04 = 176,580.32 : x
  2. Step 2: Convert to fraction form
    281,687.68/422,247.04 = 176,580.32/x
  3. Step 3: Cross multiply
    281,687.68x = 422,247.04 × 176,580.32
  4. Step 4: Simplify right side
    281,687.68x = 74,560,517,442.25
  5. Step 5: Solve for x
    x = 74,560,517,442.25/281,687.68
  6. Step 6: Final answer
    x = 264,692.15

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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.