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Finding the Fourth Proportional to 538,209.60, 807,307.92 and 164,233.68

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Solution

The fourth proportional to 538,209.60, 807,307.92 and 164,233.68 is: 246,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,209.60 : 807,307.92 = 164,233.68 : x
  2. Step 2: Convert to fraction form
    538,209.60/807,307.92 = 164,233.68/x
  3. Step 3: Cross multiply
    538,209.60x = 807,307.92 × 164,233.68
  4. Step 4: Simplify right side
    538,209.60x = 132,587,150,594.75
  5. Step 5: Solve for x
    x = 132,587,150,594.75/538,209.60
  6. Step 6: Final answer
    x = 246,348.54

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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.