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Finding the Fourth Proportional to 454,896, 682,344 and 159,408

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Solution

The fourth proportional to 454,896, 682,344 and 159,408 is: 239,112

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,896 : 682,344 = 159,408 : x
  2. Step 2: Convert to fraction form
    454,896/682,344 = 159,408/x
  3. Step 3: Cross multiply
    454,896x = 682,344 × 159,408
  4. Step 4: Simplify right side
    454,896x = 108,771,092,352
  5. Step 5: Solve for x
    x = 108,771,092,352/454,896
  6. Step 6: Final answer
    x = 239,112

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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.