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Finding the Fourth Proportional to 306,311.32, 422,647.68 and 178,962.31

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Solution

The fourth proportional to 306,311.32, 422,647.68 and 178,962.31 is: 246,931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,311.32 : 422,647.68 = 178,962.31 : x
  2. Step 2: Convert to fraction form
    306,311.32/422,647.68 = 178,962.31/x
  3. Step 3: Cross multiply
    306,311.32x = 422,647.68 × 178,962.31
  4. Step 4: Simplify right side
    306,311.32x = 75,638,005,128.94
  5. Step 5: Solve for x
    x = 75,638,005,128.94/306,311.32
  6. Step 6: Final answer
    x = 246,931.80

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