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Finding the Fourth Proportional to 410,080.40, 613,738.20 and 376,902.80

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Solution

The fourth proportional to 410,080.40, 613,738.20 and 376,902.80 is: 564,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,080.40 : 613,738.20 = 376,902.80 : x
  2. Step 2: Convert to fraction form
    410,080.40/613,738.20 = 376,902.80/x
  3. Step 3: Cross multiply
    410,080.40x = 613,738.20 × 376,902.80
  4. Step 4: Simplify right side
    410,080.40x = 231,319,646,046.96
  5. Step 5: Solve for x
    x = 231,319,646,046.96/410,080.40
  6. Step 6: Final answer
    x = 564,083.64

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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.