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Finding the Fourth Proportional to 363,364.20, 501,438.90 and 202,216.50

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Solution

The fourth proportional to 363,364.20, 501,438.90 and 202,216.50 is: 279,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,364.20 : 501,438.90 = 202,216.50 : x
  2. Step 2: Convert to fraction form
    363,364.20/501,438.90 = 202,216.50/x
  3. Step 3: Cross multiply
    363,364.20x = 501,438.90 × 202,216.50
  4. Step 4: Simplify right side
    363,364.20x = 101,399,219,321.85
  5. Step 5: Solve for x
    x = 101,399,219,321.85/363,364.20
  6. Step 6: Final answer
    x = 279,056.71

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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.