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Finding the Fourth Proportional to 578,306.54, 797,967.79 and 363,294.32

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Solution

The fourth proportional to 578,306.54, 797,967.79 and 363,294.32 is: 501,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,306.54 : 797,967.79 = 363,294.32 : x
  2. Step 2: Convert to fraction form
    578,306.54/797,967.79 = 363,294.32/x
  3. Step 3: Cross multiply
    578,306.54x = 797,967.79 × 363,294.32
  4. Step 4: Simplify right side
    578,306.54x = 289,897,160,751.88
  5. Step 5: Solve for x
    x = 289,897,160,751.88/578,306.54
  6. Step 6: Final answer
    x = 501,286.33

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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.