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Finding the Fourth Proportional to 468,899.84, 647,082.42 and 254,039.91

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Solution

The fourth proportional to 468,899.84, 647,082.42 and 254,039.91 is: 350,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,899.84 : 647,082.42 = 254,039.91 : x
  2. Step 2: Convert to fraction form
    468,899.84/647,082.42 = 254,039.91/x
  3. Step 3: Cross multiply
    468,899.84x = 647,082.42 × 254,039.91
  4. Step 4: Simplify right side
    468,899.84x = 164,384,758,469.18
  5. Step 5: Solve for x
    x = 164,384,758,469.18/468,899.84
  6. Step 6: Final answer
    x = 350,575.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.