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Finding the Fourth Proportional to 332,976, 499,464.48 and 135,984

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Solution

The fourth proportional to 332,976, 499,464.48 and 135,984 is: 203,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,976 : 499,464.48 = 135,984 : x
  2. Step 2: Convert to fraction form
    332,976/499,464.48 = 135,984/x
  3. Step 3: Cross multiply
    332,976x = 499,464.48 × 135,984
  4. Step 4: Simplify right side
    332,976x = 67,919,177,848.32
  5. Step 5: Solve for x
    x = 67,919,177,848.32/332,976
  6. Step 6: Final answer
    x = 203,976.20

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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.