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Finding the Fourth Proportional to 273,478.86, 410,198.84 and 73,810.62

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Solution

The fourth proportional to 273,478.86, 410,198.84 and 73,810.62 is: 110,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,478.86 : 410,198.84 = 73,810.62 : x
  2. Step 2: Convert to fraction form
    273,478.86/410,198.84 = 73,810.62/x
  3. Step 3: Cross multiply
    273,478.86x = 410,198.84 × 73,810.62
  4. Step 4: Simplify right side
    273,478.86x = 30,277,030,703.68
  5. Step 5: Solve for x
    x = 30,277,030,703.68/273,478.86
  6. Step 6: Final answer
    x = 110,710.68

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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.