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Finding the Fourth Proportional to 564,996.96, 847,287.60 and 227,947.44

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Solution

The fourth proportional to 564,996.96, 847,287.60 and 227,947.44 is: 341,837.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,996.96 : 847,287.60 = 227,947.44 : x
  2. Step 2: Convert to fraction form
    564,996.96/847,287.60 = 227,947.44/x
  3. Step 3: Cross multiply
    564,996.96x = 847,287.60 × 227,947.44
  4. Step 4: Simplify right side
    564,996.96x = 193,137,039,363.74
  5. Step 5: Solve for x
    x = 193,137,039,363.74/564,996.96
  6. Step 6: Final answer
    x = 341,837.31

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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.