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Finding the Fourth Proportional to 538,301.22, 807,451.82 and 159,192.42

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Solution

The fourth proportional to 538,301.22, 807,451.82 and 159,192.42 is: 238,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,301.22 : 807,451.82 = 159,192.42 : x
  2. Step 2: Convert to fraction form
    538,301.22/807,451.82 = 159,192.42/x
  3. Step 3: Cross multiply
    538,301.22x = 807,451.82 × 159,192.42
  4. Step 4: Simplify right side
    538,301.22x = 128,540,209,259.20
  5. Step 5: Solve for x
    x = 128,540,209,259.20/538,301.22
  6. Step 6: Final answer
    x = 238,788.63

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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.