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Finding the Fourth Proportional to 458,202.75, 687,396.30 and 158,676.70

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Solution

The fourth proportional to 458,202.75, 687,396.30 and 158,676.70 is: 238,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,202.75 : 687,396.30 = 158,676.70 : x
  2. Step 2: Convert to fraction form
    458,202.75/687,396.30 = 158,676.70/x
  3. Step 3: Cross multiply
    458,202.75x = 687,396.30 × 158,676.70
  4. Step 4: Simplify right side
    458,202.75x = 109,073,776,476.21
  5. Step 5: Solve for x
    x = 109,073,776,476.21/458,202.75
  6. Step 6: Final answer
    x = 238,046.97

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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.