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Finding the Fourth Proportional to 292,978.44, 439,468.38 and 82,617.48

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Solution

The fourth proportional to 292,978.44, 439,468.38 and 82,617.48 is: 123,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,978.44 : 439,468.38 = 82,617.48 : x
  2. Step 2: Convert to fraction form
    292,978.44/439,468.38 = 82,617.48/x
  3. Step 3: Cross multiply
    292,978.44x = 439,468.38 × 82,617.48
  4. Step 4: Simplify right side
    292,978.44x = 36,307,770,095.28
  5. Step 5: Solve for x
    x = 36,307,770,095.28/292,978.44
  6. Step 6: Final answer
    x = 123,926.42

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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.