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Finding the Fourth Proportional to 276,675.60, 415,013.40 and 274,342.80

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Solution

The fourth proportional to 276,675.60, 415,013.40 and 274,342.80 is: 411,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,675.60 : 415,013.40 = 274,342.80 : x
  2. Step 2: Convert to fraction form
    276,675.60/415,013.40 = 274,342.80/x
  3. Step 3: Cross multiply
    276,675.60x = 415,013.40 × 274,342.80
  4. Step 4: Simplify right side
    276,675.60x = 113,855,938,193.52
  5. Step 5: Solve for x
    x = 113,855,938,193.52/276,675.60
  6. Step 6: Final answer
    x = 411,514.20

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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.