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Finding the Fourth Proportional to 464,777.92, 697,093.98 and 127,843.84

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Solution

The fourth proportional to 464,777.92, 697,093.98 and 127,843.84 is: 191,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,777.92 : 697,093.98 = 127,843.84 : x
  2. Step 2: Convert to fraction form
    464,777.92/697,093.98 = 127,843.84/x
  3. Step 3: Cross multiply
    464,777.92x = 697,093.98 × 127,843.84
  4. Step 4: Simplify right side
    464,777.92x = 89,119,171,244.08
  5. Step 5: Solve for x
    x = 89,119,171,244.08/464,777.92
  6. Step 6: Final answer
    x = 191,745.71

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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.