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Finding the Fourth Proportional to 503,400.98, 694,571.83 and 296,677.87

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Solution

The fourth proportional to 503,400.98, 694,571.83 and 296,677.87 is: 409,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,400.98 : 694,571.83 = 296,677.87 : x
  2. Step 2: Convert to fraction form
    503,400.98/694,571.83 = 296,677.87/x
  3. Step 3: Cross multiply
    503,400.98x = 694,571.83 × 296,677.87
  4. Step 4: Simplify right side
    503,400.98x = 206,064,088,608.28
  5. Step 5: Solve for x
    x = 206,064,088,608.28/503,400.98
  6. Step 6: Final answer
    x = 409,343.84

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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.