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Finding the Fourth Proportional to 505,983.08, 698,229.24 and 279,614

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Solution

The fourth proportional to 505,983.08, 698,229.24 and 279,614 is: 385,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,983.08 : 698,229.24 = 279,614 : x
  2. Step 2: Convert to fraction form
    505,983.08/698,229.24 = 279,614/x
  3. Step 3: Cross multiply
    505,983.08x = 698,229.24 × 279,614
  4. Step 4: Simplify right side
    505,983.08x = 195,234,670,713.36
  5. Step 5: Solve for x
    x = 195,234,670,713.36/505,983.08
  6. Step 6: Final answer
    x = 385,852.17

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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.