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Finding the Fourth Proportional to 454,097.80, 681,146.70 and 404,234.20

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Solution

The fourth proportional to 454,097.80, 681,146.70 and 404,234.20 is: 606,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,097.80 : 681,146.70 = 404,234.20 : x
  2. Step 2: Convert to fraction form
    454,097.80/681,146.70 = 404,234.20/x
  3. Step 3: Cross multiply
    454,097.80x = 681,146.70 × 404,234.20
  4. Step 4: Simplify right side
    454,097.80x = 275,342,791,357.14
  5. Step 5: Solve for x
    x = 275,342,791,357.14/454,097.80
  6. Step 6: Final answer
    x = 606,351.30

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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.