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Finding the Fourth Proportional to 256,501.86, 382,874.46 and 226,201.55

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Solution

The fourth proportional to 256,501.86, 382,874.46 and 226,201.55 is: 337,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,501.86 : 382,874.46 = 226,201.55 : x
  2. Step 2: Convert to fraction form
    256,501.86/382,874.46 = 226,201.55/x
  3. Step 3: Cross multiply
    256,501.86x = 382,874.46 × 226,201.55
  4. Step 4: Simplify right side
    256,501.86x = 86,606,795,478.13
  5. Step 5: Solve for x
    x = 86,606,795,478.13/256,501.86
  6. Step 6: Final answer
    x = 337,645.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.