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Finding the Fourth Proportional to 365,861.34, 548,636.49 and 225,582.30

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Solution

The fourth proportional to 365,861.34, 548,636.49 and 225,582.30 is: 338,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,861.34 : 548,636.49 = 225,582.30 : x
  2. Step 2: Convert to fraction form
    365,861.34/548,636.49 = 225,582.30/x
  3. Step 3: Cross multiply
    365,861.34x = 548,636.49 × 225,582.30
  4. Step 4: Simplify right side
    365,861.34x = 123,762,681,278.13
  5. Step 5: Solve for x
    x = 123,762,681,278.13/365,861.34
  6. Step 6: Final answer
    x = 338,277.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.