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Finding the Fourth Proportional to 332,974, 499,461.48 and 135,982

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Solution

The fourth proportional to 332,974, 499,461.48 and 135,982 is: 203,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,974 : 499,461.48 = 135,982 : x
  2. Step 2: Convert to fraction form
    332,974/499,461.48 = 135,982/x
  3. Step 3: Cross multiply
    332,974x = 499,461.48 × 135,982
  4. Step 4: Simplify right side
    332,974x = 67,917,770,973.36
  5. Step 5: Solve for x
    x = 67,917,770,973.36/332,974
  6. Step 6: Final answer
    x = 203,973.20

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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.