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Finding the Fourth Proportional to 650,696.40, 976,212.88 and 381,052.24

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Solution

The fourth proportional to 650,696.40, 976,212.88 and 381,052.24 is: 571,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,696.40 : 976,212.88 = 381,052.24 : x
  2. Step 2: Convert to fraction form
    650,696.40/976,212.88 = 381,052.24/x
  3. Step 3: Cross multiply
    650,696.40x = 976,212.88 × 381,052.24
  4. Step 4: Simplify right side
    650,696.40x = 371,988,104,640.85
  5. Step 5: Solve for x
    x = 371,988,104,640.85/650,696.40
  6. Step 6: Final answer
    x = 571,676.91

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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.