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Finding the Fourth Proportional to 363,045.15, 501,002.24 and 204,069.15

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Solution

The fourth proportional to 363,045.15, 501,002.24 and 204,069.15 is: 281,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,045.15 : 501,002.24 = 204,069.15 : x
  2. Step 2: Convert to fraction form
    363,045.15/501,002.24 = 204,069.15/x
  3. Step 3: Cross multiply
    363,045.15x = 501,002.24 × 204,069.15
  4. Step 4: Simplify right side
    363,045.15x = 102,239,100,244.55
  5. Step 5: Solve for x
    x = 102,239,100,244.55/363,045.15
  6. Step 6: Final answer
    x = 281,615.39

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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.