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Finding the Fourth Proportional to 431,284.92, 647,025.80 and 131,808.08

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Solution

The fourth proportional to 431,284.92, 647,025.80 and 131,808.08 is: 197,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,284.92 : 647,025.80 = 131,808.08 : x
  2. Step 2: Convert to fraction form
    431,284.92/647,025.80 = 131,808.08/x
  3. Step 3: Cross multiply
    431,284.92x = 647,025.80 × 131,808.08
  4. Step 4: Simplify right side
    431,284.92x = 85,283,224,514.29
  5. Step 5: Solve for x
    x = 85,283,224,514.29/431,284.92
  6. Step 6: Final answer
    x = 197,742.19

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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.