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Finding the Fourth Proportional to 306,083, 458,861.55 and 106,377.44

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Solution

The fourth proportional to 306,083, 458,861.55 and 106,377.44 is: 159,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,083 : 458,861.55 = 106,377.44 : x
  2. Step 2: Convert to fraction form
    306,083/458,861.55 = 106,377.44/x
  3. Step 3: Cross multiply
    306,083x = 458,861.55 × 106,377.44
  4. Step 4: Simplify right side
    306,083x = 48,812,517,003.43
  5. Step 5: Solve for x
    x = 48,812,517,003.43/306,083
  6. Step 6: Final answer
    x = 159,474.77

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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.