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Finding the Fourth Proportional to 364,601.54, 503,074.89 and 209,522.78

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Solution

The fourth proportional to 364,601.54, 503,074.89 and 209,522.78 is: 289,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,601.54 : 503,074.89 = 209,522.78 : x
  2. Step 2: Convert to fraction form
    364,601.54/503,074.89 = 209,522.78/x
  3. Step 3: Cross multiply
    364,601.54x = 503,074.89 × 209,522.78
  4. Step 4: Simplify right side
    364,601.54x = 105,405,649,500.99
  5. Step 5: Solve for x
    x = 105,405,649,500.99/364,601.54
  6. Step 6: Final answer
    x = 289,098.20

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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.