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Finding the Fourth Proportional to 503,877.41, 755,811.42 and 204,286.77

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Solution

The fourth proportional to 503,877.41, 755,811.42 and 204,286.77 is: 306,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,877.41 : 755,811.42 = 204,286.77 : x
  2. Step 2: Convert to fraction form
    503,877.41/755,811.42 = 204,286.77/x
  3. Step 3: Cross multiply
    503,877.41x = 755,811.42 × 204,286.77
  4. Step 4: Simplify right side
    503,877.41x = 154,402,274,589.01
  5. Step 5: Solve for x
    x = 154,402,274,589.01/503,877.41
  6. Step 6: Final answer
    x = 306,428.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.