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Finding the Fourth Proportional to 451,650.52, 677,738.13 and 202,332.52

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Solution

The fourth proportional to 451,650.52, 677,738.13 and 202,332.52 is: 303,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,650.52 : 677,738.13 = 202,332.52 : x
  2. Step 2: Convert to fraction form
    451,650.52/677,738.13 = 202,332.52/x
  3. Step 3: Cross multiply
    451,650.52x = 677,738.13 × 202,332.52
  4. Step 4: Simplify right side
    451,650.52x = 137,128,463,742.99
  5. Step 5: Solve for x
    x = 137,128,463,742.99/451,650.52
  6. Step 6: Final answer
    x = 303,616.31

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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.