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Finding the Fourth Proportional to 538,860.25, 808,427.67 and 159,794.83

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Solution

The fourth proportional to 538,860.25, 808,427.67 and 159,794.83 is: 239,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,860.25 : 808,427.67 = 159,794.83 : x
  2. Step 2: Convert to fraction form
    538,860.25/808,427.67 = 159,794.83/x
  3. Step 3: Cross multiply
    538,860.25x = 808,427.67 × 159,794.83
  4. Step 4: Simplify right side
    538,860.25x = 129,182,562,094.95
  5. Step 5: Solve for x
    x = 129,182,562,094.95/538,860.25
  6. Step 6: Final answer
    x = 239,732.96

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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.