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Finding the Fourth Proportional to 234,462.68, 351,694.46 and 56,969.84

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Solution

The fourth proportional to 234,462.68, 351,694.46 and 56,969.84 is: 85,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,462.68 : 351,694.46 = 56,969.84 : x
  2. Step 2: Convert to fraction form
    234,462.68/351,694.46 = 56,969.84/x
  3. Step 3: Cross multiply
    234,462.68x = 351,694.46 × 56,969.84
  4. Step 4: Simplify right side
    234,462.68x = 20,035,977,115.09
  5. Step 5: Solve for x
    x = 20,035,977,115.09/234,462.68
  6. Step 6: Final answer
    x = 85,454.87

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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.