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Finding the Fourth Proportional to 410,843.70, 616,265.55 and 115,317.30

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Solution

The fourth proportional to 410,843.70, 616,265.55 and 115,317.30 is: 172,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,843.70 : 616,265.55 = 115,317.30 : x
  2. Step 2: Convert to fraction form
    410,843.70/616,265.55 = 115,317.30/x
  3. Step 3: Cross multiply
    410,843.70x = 616,265.55 × 115,317.30
  4. Step 4: Simplify right side
    410,843.70x = 71,066,079,309.02
  5. Step 5: Solve for x
    x = 71,066,079,309.02/410,843.70
  6. Step 6: Final answer
    x = 172,975.95

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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.