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Finding the Fourth Proportional to 485,433.60, 727,891.20 and 204,633.60

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Solution

The fourth proportional to 485,433.60, 727,891.20 and 204,633.60 is: 306,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,433.60 : 727,891.20 = 204,633.60 : x
  2. Step 2: Convert to fraction form
    485,433.60/727,891.20 = 204,633.60/x
  3. Step 3: Cross multiply
    485,433.60x = 727,891.20 × 204,633.60
  4. Step 4: Simplify right side
    485,433.60x = 148,950,996,664.32
  5. Step 5: Solve for x
    x = 148,950,996,664.32/485,433.60
  6. Step 6: Final answer
    x = 306,841.13

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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.