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Finding the Fourth Proportional to 410,992.25, 616,488.38 and 115,504.25

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Solution

The fourth proportional to 410,992.25, 616,488.38 and 115,504.25 is: 173,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,992.25 : 616,488.38 = 115,504.25 : x
  2. Step 2: Convert to fraction form
    410,992.25/616,488.38 = 115,504.25/x
  3. Step 3: Cross multiply
    410,992.25x = 616,488.38 × 115,504.25
  4. Step 4: Simplify right side
    410,992.25x = 71,207,027,965.62
  5. Step 5: Solve for x
    x = 71,207,027,965.62/410,992.25
  6. Step 6: Final answer
    x = 173,256.38

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1.5x scale

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.