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Finding the Fourth Proportional to 468,277.68, 701,803.92 and 187,991.76

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Solution

The fourth proportional to 468,277.68, 701,803.92 and 187,991.76 is: 281,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,277.68 : 701,803.92 = 187,991.76 : x
  2. Step 2: Convert to fraction form
    468,277.68/701,803.92 = 187,991.76/x
  3. Step 3: Cross multiply
    468,277.68x = 701,803.92 × 187,991.76
  4. Step 4: Simplify right side
    468,277.68x = 131,933,354,095.70
  5. Step 5: Solve for x
    x = 131,933,354,095.70/468,277.68
  6. Step 6: Final answer
    x = 281,741.71

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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.