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Finding the Fourth Proportional to 504,449.38, 696,144.90 and 278,102.98

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Solution

The fourth proportional to 504,449.38, 696,144.90 and 278,102.98 is: 383,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,449.38 : 696,144.90 = 278,102.98 : x
  2. Step 2: Convert to fraction form
    504,449.38/696,144.90 = 278,102.98/x
  3. Step 3: Cross multiply
    504,449.38x = 696,144.90 × 278,102.98
  4. Step 4: Simplify right side
    504,449.38x = 193,599,971,201.80
  5. Step 5: Solve for x
    x = 193,599,971,201.80/504,449.38
  6. Step 6: Final answer
    x = 383,784.73

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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.