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Finding the Fourth Proportional to 289,778.09, 399,546.25 and 187,766.32

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Solution

The fourth proportional to 289,778.09, 399,546.25 and 187,766.32 is: 258,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,778.09 : 399,546.25 = 187,766.32 : x
  2. Step 2: Convert to fraction form
    289,778.09/399,546.25 = 187,766.32/x
  3. Step 3: Cross multiply
    289,778.09x = 399,546.25 × 187,766.32
  4. Step 4: Simplify right side
    289,778.09x = 75,021,329,032.30
  5. Step 5: Solve for x
    x = 75,021,329,032.30/289,778.09
  6. Step 6: Final answer
    x = 258,892.34

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1.5x scale

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.