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Finding the Fourth Proportional to 500,726.98, 691,002.29 and 271,289.97

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Solution

The fourth proportional to 500,726.98, 691,002.29 and 271,289.97 is: 374,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,726.98 : 691,002.29 = 271,289.97 : x
  2. Step 2: Convert to fraction form
    500,726.98/691,002.29 = 271,289.97/x
  3. Step 3: Cross multiply
    500,726.98x = 691,002.29 × 271,289.97
  4. Step 4: Simplify right side
    500,726.98x = 187,461,990,524.03
  5. Step 5: Solve for x
    x = 187,461,990,524.03/500,726.98
  6. Step 6: Final answer
    x = 374,379.65

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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.