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Finding the Fourth Proportional to 365,868.24, 548,900.88 and 188,278.44

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Solution

The fourth proportional to 365,868.24, 548,900.88 and 188,278.44 is: 282,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,868.24 : 548,900.88 = 188,278.44 : x
  2. Step 2: Convert to fraction form
    365,868.24/548,900.88 = 188,278.44/x
  3. Step 3: Cross multiply
    365,868.24x = 548,900.88 × 188,278.44
  4. Step 4: Simplify right side
    365,868.24x = 103,346,201,401.03
  5. Step 5: Solve for x
    x = 103,346,201,401.03/365,868.24
  6. Step 6: Final answer
    x = 282,468.36

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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.