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Finding the Fourth Proportional to 451,650.51, 677,738.13 and 202,332.51

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Solution

The fourth proportional to 451,650.51, 677,738.13 and 202,332.51 is: 303,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,650.51 : 677,738.13 = 202,332.51 : x
  2. Step 2: Convert to fraction form
    451,650.51/677,738.13 = 202,332.51/x
  3. Step 3: Cross multiply
    451,650.51x = 677,738.13 × 202,332.51
  4. Step 4: Simplify right side
    451,650.51x = 137,128,456,965.61
  5. Step 5: Solve for x
    x = 137,128,456,965.61/451,650.51
  6. Step 6: Final answer
    x = 303,616.30

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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.