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Finding the Fourth Proportional to 503,271.99, 694,286.46 and 299,207.14

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Solution

The fourth proportional to 503,271.99, 694,286.46 and 299,207.14 is: 412,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,271.99 : 694,286.46 = 299,207.14 : x
  2. Step 2: Convert to fraction form
    503,271.99/694,286.46 = 299,207.14/x
  3. Step 3: Cross multiply
    503,271.99x = 694,286.46 × 299,207.14
  4. Step 4: Simplify right side
    503,271.99x = 207,735,464,301.61
  5. Step 5: Solve for x
    x = 207,735,464,301.61/503,271.99
  6. Step 6: Final answer
    x = 412,769.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.