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Finding the Fourth Proportional to 395,585.16, 593,414.22 and 129,347.04

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Solution

The fourth proportional to 395,585.16, 593,414.22 and 129,347.04 is: 194,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,585.16 : 593,414.22 = 129,347.04 : x
  2. Step 2: Convert to fraction form
    395,585.16/593,414.22 = 129,347.04/x
  3. Step 3: Cross multiply
    395,585.16x = 593,414.22 × 129,347.04
  4. Step 4: Simplify right side
    395,585.16x = 76,756,372,850.91
  5. Step 5: Solve for x
    x = 76,756,372,850.91/395,585.16
  6. Step 6: Final answer
    x = 194,032.49

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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.