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Finding the Fourth Proportional to 504,351.42, 696,004.83 and 278,000.70

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Solution

The fourth proportional to 504,351.42, 696,004.83 and 278,000.70 is: 383,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,351.42 : 696,004.83 = 278,000.70 : x
  2. Step 2: Convert to fraction form
    504,351.42/696,004.83 = 278,000.70/x
  3. Step 3: Cross multiply
    504,351.42x = 696,004.83 × 278,000.70
  4. Step 4: Simplify right side
    504,351.42x = 193,489,829,943.38
  5. Step 5: Solve for x
    x = 193,489,829,943.38/504,351.42
  6. Step 6: Final answer
    x = 383,640.89

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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.