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Finding the Fourth Proportional to 299,336.58, 413,092.98 and 163,379.16

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Solution

The fourth proportional to 299,336.58, 413,092.98 and 163,379.16 is: 225,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,336.58 : 413,092.98 = 163,379.16 : x
  2. Step 2: Convert to fraction form
    299,336.58/413,092.98 = 163,379.16/x
  3. Step 3: Cross multiply
    299,336.58x = 413,092.98 × 163,379.16
  4. Step 4: Simplify right side
    299,336.58x = 67,490,784,074.30
  5. Step 5: Solve for x
    x = 67,490,784,074.30/299,336.58
  6. Step 6: Final answer
    x = 225,467.88

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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.