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Finding the Fourth Proportional to 412,822.60, 619,233.90 and 163,504.60

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Solution

The fourth proportional to 412,822.60, 619,233.90 and 163,504.60 is: 245,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,822.60 : 619,233.90 = 163,504.60 : x
  2. Step 2: Convert to fraction form
    412,822.60/619,233.90 = 163,504.60/x
  3. Step 3: Cross multiply
    412,822.60x = 619,233.90 × 163,504.60
  4. Step 4: Simplify right side
    412,822.60x = 101,247,591,125.94
  5. Step 5: Solve for x
    x = 101,247,591,125.94/412,822.60
  6. Step 6: Final answer
    x = 245,256.90

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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.