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Finding the Fourth Proportional to 281,689.68, 422,250.04 and 176,582.32

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Solution

The fourth proportional to 281,689.68, 422,250.04 and 176,582.32 is: 264,695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,689.68 : 422,250.04 = 176,582.32 : x
  2. Step 2: Convert to fraction form
    281,689.68/422,250.04 = 176,582.32/x
  3. Step 3: Cross multiply
    281,689.68x = 422,250.04 × 176,582.32
  4. Step 4: Simplify right side
    281,689.68x = 74,561,891,683.29
  5. Step 5: Solve for x
    x = 74,561,891,683.29/281,689.68
  6. Step 6: Final answer
    x = 264,695.15

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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.