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Finding the Fourth Proportional to 306,152.96, 422,697.23 and 273,787.17

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Solution

The fourth proportional to 306,152.96, 422,697.23 and 273,787.17 is: 378,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,152.96 : 422,697.23 = 273,787.17 : x
  2. Step 2: Convert to fraction form
    306,152.96/422,697.23 = 273,787.17/x
  3. Step 3: Cross multiply
    306,152.96x = 422,697.23 × 273,787.17
  4. Step 4: Simplify right side
    306,152.96x = 115,729,076,999.60
  5. Step 5: Solve for x
    x = 115,729,076,999.60/306,152.96
  6. Step 6: Final answer
    x = 378,010.65

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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.