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Finding the Fourth Proportional to 412,074, 568,634.52 and 228,300.21

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Solution

The fourth proportional to 412,074, 568,634.52 and 228,300.21 is: 315,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,074 : 568,634.52 = 228,300.21 : x
  2. Step 2: Convert to fraction form
    412,074/568,634.52 = 228,300.21/x
  3. Step 3: Cross multiply
    412,074x = 568,634.52 × 228,300.21
  4. Step 4: Simplify right side
    412,074x = 129,819,380,329.25
  5. Step 5: Solve for x
    x = 129,819,380,329.25/412,074
  6. Step 6: Final answer
    x = 315,039.00

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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.