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Finding the Fourth Proportional to 306,861.48, 460,297.08 and 93,633.84

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Solution

The fourth proportional to 306,861.48, 460,297.08 and 93,633.84 is: 140,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,861.48 : 460,297.08 = 93,633.84 : x
  2. Step 2: Convert to fraction form
    306,861.48/460,297.08 = 93,633.84/x
  3. Step 3: Cross multiply
    306,861.48x = 460,297.08 × 93,633.84
  4. Step 4: Simplify right side
    306,861.48x = 43,099,383,141.19
  5. Step 5: Solve for x
    x = 43,099,383,141.19/306,861.48
  6. Step 6: Final answer
    x = 140,452.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.