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Finding the Fourth Proportional to 399,567.78, 599,270.58 and 146,761.38

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Solution

The fourth proportional to 399,567.78, 599,270.58 and 146,761.38 is: 220,112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,567.78 : 599,270.58 = 146,761.38 : x
  2. Step 2: Convert to fraction form
    399,567.78/599,270.58 = 146,761.38/x
  3. Step 3: Cross multiply
    399,567.78x = 599,270.58 × 146,761.38
  4. Step 4: Simplify right side
    399,567.78x = 87,949,777,314.20
  5. Step 5: Solve for x
    x = 87,949,777,314.20/399,567.78
  6. Step 6: Final answer
    x = 220,112.29

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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.