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Finding the Fourth Proportional to 298,502.96, 411,753.12 and 191,035.04

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Solution

The fourth proportional to 298,502.96, 411,753.12 and 191,035.04 is: 263,512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,502.96 : 411,753.12 = 191,035.04 : x
  2. Step 2: Convert to fraction form
    298,502.96/411,753.12 = 191,035.04/x
  3. Step 3: Cross multiply
    298,502.96x = 411,753.12 × 191,035.04
  4. Step 4: Simplify right side
    298,502.96x = 78,659,273,749.32
  5. Step 5: Solve for x
    x = 78,659,273,749.32/298,502.96
  6. Step 6: Final answer
    x = 263,512.54

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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.