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Finding the Fourth Proportional to 281,645.52, 422,565.48 and 176,339.04

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Solution

The fourth proportional to 281,645.52, 422,565.48 and 176,339.04 is: 264,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,645.52 : 422,565.48 = 176,339.04 : x
  2. Step 2: Convert to fraction form
    281,645.52/422,565.48 = 176,339.04/x
  3. Step 3: Cross multiply
    281,645.52x = 422,565.48 × 176,339.04
  4. Step 4: Simplify right side
    281,645.52x = 74,514,791,080.34
  5. Step 5: Solve for x
    x = 74,514,791,080.34/281,645.52
  6. Step 6: Final answer
    x = 264,569.42

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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.