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Finding the Fourth Proportional to 458,200.56, 687,169.08 and 191,954.64

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Solution

The fourth proportional to 458,200.56, 687,169.08 and 191,954.64 is: 287,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,200.56 : 687,169.08 = 191,954.64 : x
  2. Step 2: Convert to fraction form
    458,200.56/687,169.08 = 191,954.64/x
  3. Step 3: Cross multiply
    458,200.56x = 687,169.08 × 191,954.64
  4. Step 4: Simplify right side
    458,200.56x = 131,905,293,370.53
  5. Step 5: Solve for x
    x = 131,905,293,370.53/458,200.56
  6. Step 6: Final answer
    x = 287,876.76

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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.