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Finding the Fourth Proportional to 412,637.22, 618,957.95 and 187,840.44

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Solution

The fourth proportional to 412,637.22, 618,957.95 and 187,840.44 is: 281,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,637.22 : 618,957.95 = 187,840.44 : x
  2. Step 2: Convert to fraction form
    412,637.22/618,957.95 = 187,840.44/x
  3. Step 3: Cross multiply
    412,637.22x = 618,957.95 × 187,840.44
  4. Step 4: Simplify right side
    412,637.22x = 116,265,332,730.30
  5. Step 5: Solve for x
    x = 116,265,332,730.30/412,637.22
  6. Step 6: Final answer
    x = 281,761.62

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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.