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Finding the Fourth Proportional to 413,086.11, 569,737.44 and 298,793.49

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Solution

The fourth proportional to 413,086.11, 569,737.44 and 298,793.49 is: 412,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,086.11 : 569,737.44 = 298,793.49 : x
  2. Step 2: Convert to fraction form
    413,086.11/569,737.44 = 298,793.49/x
  3. Step 3: Cross multiply
    413,086.11x = 569,737.44 × 298,793.49
  4. Step 4: Simplify right side
    413,086.11x = 170,233,838,081.27
  5. Step 5: Solve for x
    x = 170,233,838,081.27/413,086.11
  6. Step 6: Final answer
    x = 412,102.55

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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.