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Finding the Fourth Proportional to 281,644.52, 422,563.98 and 176,338.04

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Solution

The fourth proportional to 281,644.52, 422,563.98 and 176,338.04 is: 264,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,644.52 : 422,563.98 = 176,338.04 : x
  2. Step 2: Convert to fraction form
    281,644.52/422,563.98 = 176,338.04/x
  3. Step 3: Cross multiply
    281,644.52x = 422,563.98 × 176,338.04
  4. Step 4: Simplify right side
    281,644.52x = 74,514,104,007.80
  5. Step 5: Solve for x
    x = 74,514,104,007.80/281,644.52
  6. Step 6: Final answer
    x = 264,567.92

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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.