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Finding the Fourth Proportional to 299,577.69, 413,400.31 and 163,584.56

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Solution

The fourth proportional to 299,577.69, 413,400.31 and 163,584.56 is: 225,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,577.69 : 413,400.31 = 163,584.56 : x
  2. Step 2: Convert to fraction form
    299,577.69/413,400.31 = 163,584.56/x
  3. Step 3: Cross multiply
    299,577.69x = 413,400.31 × 163,584.56
  4. Step 4: Simplify right side
    299,577.69x = 67,625,908,439.75
  5. Step 5: Solve for x
    x = 67,625,908,439.75/299,577.69
  6. Step 6: Final answer
    x = 225,737.47

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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.