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Finding the Fourth Proportional to 578,306.91, 797,968.31 and 363,294.69

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Solution

The fourth proportional to 578,306.91, 797,968.31 and 363,294.69 is: 501,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,306.91 : 797,968.31 = 363,294.69 : x
  2. Step 2: Convert to fraction form
    578,306.91/797,968.31 = 363,294.69/x
  3. Step 3: Cross multiply
    578,306.91x = 797,968.31 × 363,294.69
  4. Step 4: Simplify right side
    578,306.91x = 289,897,647,994.80
  5. Step 5: Solve for x
    x = 289,897,647,994.80/578,306.91
  6. Step 6: Final answer
    x = 501,286.85

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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.