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Finding the Fourth Proportional to 598,758.27, 826,294.13 and 326,833.98

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Solution

The fourth proportional to 598,758.27, 826,294.13 and 326,833.98 is: 451,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,758.27 : 826,294.13 = 326,833.98 : x
  2. Step 2: Convert to fraction form
    598,758.27/826,294.13 = 326,833.98/x
  3. Step 3: Cross multiply
    598,758.27x = 826,294.13 × 326,833.98
  4. Step 4: Simplify right side
    598,758.27x = 270,060,997,524.37
  5. Step 5: Solve for x
    x = 270,060,997,524.37/598,758.27
  6. Step 6: Final answer
    x = 451,035.10

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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.