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Finding the Fourth Proportional to 633,096, 949,633.20 and 159,777.90

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Solution

The fourth proportional to 633,096, 949,633.20 and 159,777.90 is: 239,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,096 : 949,633.20 = 159,777.90 : x
  2. Step 2: Convert to fraction form
    633,096/949,633.20 = 159,777.90/x
  3. Step 3: Cross multiply
    633,096x = 949,633.20 × 159,777.90
  4. Step 4: Simplify right side
    633,096x = 151,730,398,466.28
  5. Step 5: Solve for x
    x = 151,730,398,466.28/633,096
  6. Step 6: Final answer
    x = 239,664.12

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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.