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Finding the Fourth Proportional to 293,291.46, 404,742.21 and 159,155.46

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Solution

The fourth proportional to 293,291.46, 404,742.21 and 159,155.46 is: 219,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,291.46 : 404,742.21 = 159,155.46 : x
  2. Step 2: Convert to fraction form
    293,291.46/404,742.21 = 159,155.46/x
  3. Step 3: Cross multiply
    293,291.46x = 404,742.21 × 159,155.46
  4. Step 4: Simplify right side
    293,291.46x = 64,416,932,613.97
  5. Step 5: Solve for x
    x = 64,416,932,613.97/293,291.46
  6. Step 6: Final answer
    x = 219,634.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.