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Finding the Fourth Proportional to 295,893.78, 443,952.41 and 177,647.55

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Solution

The fourth proportional to 295,893.78, 443,952.41 and 177,647.55 is: 266,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,893.78 : 443,952.41 = 177,647.55 : x
  2. Step 2: Convert to fraction form
    295,893.78/443,952.41 = 177,647.55/x
  3. Step 3: Cross multiply
    295,893.78x = 443,952.41 × 177,647.55
  4. Step 4: Simplify right side
    295,893.78x = 78,867,057,064.86
  5. Step 5: Solve for x
    x = 78,867,057,064.86/295,893.78
  6. Step 6: Final answer
    x = 266,538.41

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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.