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Finding the Fourth Proportional to 410,837.20, 616,255.80 and 115,310.80

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Solution

The fourth proportional to 410,837.20, 616,255.80 and 115,310.80 is: 172,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,837.20 : 616,255.80 = 115,310.80 : x
  2. Step 2: Convert to fraction form
    410,837.20/616,255.80 = 115,310.80/x
  3. Step 3: Cross multiply
    410,837.20x = 616,255.80 × 115,310.80
  4. Step 4: Simplify right side
    410,837.20x = 71,060,949,302.64
  5. Step 5: Solve for x
    x = 71,060,949,302.64/410,837.20
  6. Step 6: Final answer
    x = 172,966.20

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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.