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Finding the Fourth Proportional to 505,872.24, 698,081.28 and 279,512.88

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Solution

The fourth proportional to 505,872.24, 698,081.28 and 279,512.88 is: 385,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,872.24 : 698,081.28 = 279,512.88 : x
  2. Step 2: Convert to fraction form
    505,872.24/698,081.28 = 279,512.88/x
  3. Step 3: Cross multiply
    505,872.24x = 698,081.28 × 279,512.88
  4. Step 4: Simplify right side
    505,872.24x = 195,122,709,046.89
  5. Step 5: Solve for x
    x = 195,122,709,046.89/505,872.24
  6. Step 6: Final answer
    x = 385,715.39

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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.