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Finding the Fourth Proportional to 458,186.70, 687,608.10 and 192,138.15

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Solution

The fourth proportional to 458,186.70, 687,608.10 and 192,138.15 is: 288,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,186.70 : 687,608.10 = 192,138.15 : x
  2. Step 2: Convert to fraction form
    458,186.70/687,608.10 = 192,138.15/x
  3. Step 3: Cross multiply
    458,186.70x = 687,608.10 × 192,138.15
  4. Step 4: Simplify right side
    458,186.70x = 132,115,748,259.02
  5. Step 5: Solve for x
    x = 132,115,748,259.02/458,186.70
  6. Step 6: Final answer
    x = 288,344.79

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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.