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Finding the Fourth Proportional to 485,097.60, 727,387.20 and 204,297.60

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Solution

The fourth proportional to 485,097.60, 727,387.20 and 204,297.60 is: 306,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,097.60 : 727,387.20 = 204,297.60 : x
  2. Step 2: Convert to fraction form
    485,097.60/727,387.20 = 204,297.60/x
  3. Step 3: Cross multiply
    485,097.60x = 727,387.20 × 204,297.60
  4. Step 4: Simplify right side
    485,097.60x = 148,603,459,230.72
  5. Step 5: Solve for x
    x = 148,603,459,230.72/485,097.60
  6. Step 6: Final answer
    x = 306,337.24

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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.