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Finding the Fourth Proportional to 504,698.70, 696,464.96 and 278,344.20

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Solution

The fourth proportional to 504,698.70, 696,464.96 and 278,344.20 is: 384,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,698.70 : 696,464.96 = 278,344.20 : x
  2. Step 2: Convert to fraction form
    504,698.70/696,464.96 = 278,344.20/x
  3. Step 3: Cross multiply
    504,698.70x = 696,464.96 × 278,344.20
  4. Step 4: Simplify right side
    504,698.70x = 193,856,980,204.48
  5. Step 5: Solve for x
    x = 193,856,980,204.48/504,698.70
  6. Step 6: Final answer
    x = 384,104.38

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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.