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Finding the Fourth Proportional to 585,243.28, 878,234 and 230,211.18

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Solution

The fourth proportional to 585,243.28, 878,234 and 230,211.18 is: 345,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,243.28 : 878,234 = 230,211.18 : x
  2. Step 2: Convert to fraction form
    585,243.28/878,234 = 230,211.18/x
  3. Step 3: Cross multiply
    585,243.28x = 878,234 × 230,211.18
  4. Step 4: Simplify right side
    585,243.28x = 202,179,285,456.12
  5. Step 5: Solve for x
    x = 202,179,285,456.12/585,243.28
  6. Step 6: Final answer
    x = 345,461.95

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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.