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Finding the Fourth Proportional to 338,978.73, 508,113.24 and 114,261.44

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Solution

The fourth proportional to 338,978.73, 508,113.24 and 114,261.44 is: 171,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,978.73 : 508,113.24 = 114,261.44 : x
  2. Step 2: Convert to fraction form
    338,978.73/508,113.24 = 114,261.44/x
  3. Step 3: Cross multiply
    338,978.73x = 508,113.24 × 114,261.44
  4. Step 4: Simplify right side
    338,978.73x = 58,057,750,374.56
  5. Step 5: Solve for x
    x = 58,057,750,374.56/338,978.73
  6. Step 6: Final answer
    x = 171,272.55

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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.