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Finding the Fourth Proportional to 299,725.82, 413,609.40 and 163,764.48

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Solution

The fourth proportional to 299,725.82, 413,609.40 and 163,764.48 is: 225,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,725.82 : 413,609.40 = 163,764.48 : x
  2. Step 2: Convert to fraction form
    299,725.82/413,609.40 = 163,764.48/x
  3. Step 3: Cross multiply
    299,725.82x = 413,609.40 × 163,764.48
  4. Step 4: Simplify right side
    299,725.82x = 67,734,528,314.11
  5. Step 5: Solve for x
    x = 67,734,528,314.11/299,725.82
  6. Step 6: Final answer
    x = 225,988.30

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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.