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Finding the Fourth Proportional to 332,208, 498,519.36 and 135,216

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Solution

The fourth proportional to 332,208, 498,519.36 and 135,216 is: 202,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,208 : 498,519.36 = 135,216 : x
  2. Step 2: Convert to fraction form
    332,208/498,519.36 = 135,216/x
  3. Step 3: Cross multiply
    332,208x = 498,519.36 × 135,216
  4. Step 4: Simplify right side
    332,208x = 67,407,793,781.76
  5. Step 5: Solve for x
    x = 67,407,793,781.76/332,208
  6. Step 6: Final answer
    x = 202,908.40

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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.