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Finding the Fourth Proportional to 503,228.84, 694,191.11 and 299,134.59

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Solution

The fourth proportional to 503,228.84, 694,191.11 and 299,134.59 is: 412,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,228.84 : 694,191.11 = 299,134.59 : x
  2. Step 2: Convert to fraction form
    503,228.84/694,191.11 = 299,134.59/x
  3. Step 3: Cross multiply
    503,228.84x = 694,191.11 × 299,134.59
  4. Step 4: Simplify right side
    503,228.84x = 207,656,568,972.61
  5. Step 5: Solve for x
    x = 207,656,568,972.61/503,228.84
  6. Step 6: Final answer
    x = 412,648.39

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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.