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Finding the Fourth Proportional to 503,205.28, 694,428.78 and 273,763.86

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Solution

The fourth proportional to 503,205.28, 694,428.78 and 273,763.86 is: 377,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,205.28 : 694,428.78 = 273,763.86 : x
  2. Step 2: Convert to fraction form
    503,205.28/694,428.78 = 273,763.86/x
  3. Step 3: Cross multiply
    503,205.28x = 694,428.78 × 273,763.86
  4. Step 4: Simplify right side
    503,205.28x = 190,109,503,307.89
  5. Step 5: Solve for x
    x = 190,109,503,307.89/503,205.28
  6. Step 6: Final answer
    x = 377,797.12

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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.