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Finding the Fourth Proportional to 633,084.37, 873,654.10 and 361,151.78

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Solution

The fourth proportional to 633,084.37, 873,654.10 and 361,151.78 is: 498,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,084.37 : 873,654.10 = 361,151.78 : x
  2. Step 2: Convert to fraction form
    633,084.37/873,654.10 = 361,151.78/x
  3. Step 3: Cross multiply
    633,084.37x = 873,654.10 × 361,151.78
  4. Step 4: Simplify right side
    633,084.37x = 315,521,733,319.30
  5. Step 5: Solve for x
    x = 315,521,733,319.30/633,084.37
  6. Step 6: Final answer
    x = 498,388.13

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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.