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Finding the Fourth Proportional to 306,793.44, 460,300.90 and 107,143.28

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Solution

The fourth proportional to 306,793.44, 460,300.90 and 107,143.28 is: 160,753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,793.44 : 460,300.90 = 107,143.28 : x
  2. Step 2: Convert to fraction form
    306,793.44/460,300.90 = 107,143.28/x
  3. Step 3: Cross multiply
    306,793.44x = 460,300.90 × 107,143.28
  4. Step 4: Simplify right side
    306,793.44x = 49,318,148,212.95
  5. Step 5: Solve for x
    x = 49,318,148,212.95/306,793.44
  6. Step 6: Final answer
    x = 160,753.59

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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.