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Finding the Fourth Proportional to 409,559.52, 565,168.56 and 228,265.44

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Solution

The fourth proportional to 409,559.52, 565,168.56 and 228,265.44 is: 314,993.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,559.52 : 565,168.56 = 228,265.44 : x
  2. Step 2: Convert to fraction form
    409,559.52/565,168.56 = 228,265.44/x
  3. Step 3: Cross multiply
    409,559.52x = 565,168.56 × 228,265.44
  4. Step 4: Simplify right side
    409,559.52x = 129,008,450,022.57
  5. Step 5: Solve for x
    x = 129,008,450,022.57/409,559.52
  6. Step 6: Final answer
    x = 314,993.17

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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.