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Finding the Fourth Proportional to 276,729.92, 415,262.88 and 110,504

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Solution

The fourth proportional to 276,729.92, 415,262.88 and 110,504 is: 165,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,729.92 : 415,262.88 = 110,504 : x
  2. Step 2: Convert to fraction form
    276,729.92/415,262.88 = 110,504/x
  3. Step 3: Cross multiply
    276,729.92x = 415,262.88 × 110,504
  4. Step 4: Simplify right side
    276,729.92x = 45,888,209,291.52
  5. Step 5: Solve for x
    x = 45,888,209,291.52/276,729.92
  6. Step 6: Final answer
    x = 165,823.09

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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.