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Finding the Fourth Proportional to 458,144.92, 686,515.92 and 191,760.40

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Solution

The fourth proportional to 458,144.92, 686,515.92 and 191,760.40 is: 287,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,144.92 : 686,515.92 = 191,760.40 : x
  2. Step 2: Convert to fraction form
    458,144.92/686,515.92 = 191,760.40/x
  3. Step 3: Cross multiply
    458,144.92x = 686,515.92 × 191,760.40
  4. Step 4: Simplify right side
    458,144.92x = 131,646,567,425.57
  5. Step 5: Solve for x
    x = 131,646,567,425.57/458,144.92
  6. Step 6: Final answer
    x = 287,347.00

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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.