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Finding the Fourth Proportional to 538,125.60, 806,799.60 and 301,540.80

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Solution

The fourth proportional to 538,125.60, 806,799.60 and 301,540.80 is: 452,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,125.60 : 806,799.60 = 301,540.80 : x
  2. Step 2: Convert to fraction form
    538,125.60/806,799.60 = 301,540.80/x
  3. Step 3: Cross multiply
    538,125.60x = 806,799.60 × 301,540.80
  4. Step 4: Simplify right side
    538,125.60x = 243,282,996,823.68
  5. Step 5: Solve for x
    x = 243,282,996,823.68/538,125.60
  6. Step 6: Final answer
    x = 452,093.33

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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.