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Finding the Fourth Proportional to 337,287.72, 465,438.74 and 186,375

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Solution

The fourth proportional to 337,287.72, 465,438.74 and 186,375 is: 257,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,287.72 : 465,438.74 = 186,375 : x
  2. Step 2: Convert to fraction form
    337,287.72/465,438.74 = 186,375/x
  3. Step 3: Cross multiply
    337,287.72x = 465,438.74 × 186,375
  4. Step 4: Simplify right side
    337,287.72x = 86,746,145,167.50
  5. Step 5: Solve for x
    x = 86,746,145,167.50/337,287.72
  6. Step 6: Final answer
    x = 257,187.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.