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Finding the Fourth Proportional to 503,133.62, 694,282.37 and 296,369.18

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Solution

The fourth proportional to 503,133.62, 694,282.37 and 296,369.18 is: 408,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,133.62 : 694,282.37 = 296,369.18 : x
  2. Step 2: Convert to fraction form
    503,133.62/694,282.37 = 296,369.18/x
  3. Step 3: Cross multiply
    503,133.62x = 694,282.37 × 296,369.18
  4. Step 4: Simplify right side
    503,133.62x = 205,763,893,213.95
  5. Step 5: Solve for x
    x = 205,763,893,213.95/503,133.62
  6. Step 6: Final answer
    x = 408,964.71

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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.