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Finding the Fourth Proportional to 312,297.28, 468,375.84 and 143,655.64

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Solution

The fourth proportional to 312,297.28, 468,375.84 and 143,655.64 is: 215,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,297.28 : 468,375.84 = 143,655.64 : x
  2. Step 2: Convert to fraction form
    312,297.28/468,375.84 = 143,655.64/x
  3. Step 3: Cross multiply
    312,297.28x = 468,375.84 × 143,655.64
  4. Step 4: Simplify right side
    312,297.28x = 67,284,829,884.80
  5. Step 5: Solve for x
    x = 67,284,829,884.80/312,297.28
  6. Step 6: Final answer
    x = 215,451.22

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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.