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Finding the Fourth Proportional to 503,441.26, 694,627.70 and 296,717.90

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Solution

The fourth proportional to 503,441.26, 694,627.70 and 296,717.90 is: 409,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,441.26 : 694,627.70 = 296,717.90 : x
  2. Step 2: Convert to fraction form
    503,441.26/694,627.70 = 296,717.90/x
  3. Step 3: Cross multiply
    503,441.26x = 694,627.70 × 296,717.90
  4. Step 4: Simplify right side
    503,441.26x = 206,108,472,425.83
  5. Step 5: Solve for x
    x = 206,108,472,425.83/503,441.26
  6. Step 6: Final answer
    x = 409,399.25

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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.