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Finding the Fourth Proportional to 299,725.40, 413,602.38 and 163,731.80

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Solution

The fourth proportional to 299,725.40, 413,602.38 and 163,731.80 is: 225,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,725.40 : 413,602.38 = 163,731.80 : x
  2. Step 2: Convert to fraction form
    299,725.40/413,602.38 = 163,731.80/x
  3. Step 3: Cross multiply
    299,725.40x = 413,602.38 × 163,731.80
  4. Step 4: Simplify right side
    299,725.40x = 67,719,862,161.68
  5. Step 5: Solve for x
    x = 67,719,862,161.68/299,725.40
  6. Step 6: Final answer
    x = 225,939.68

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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.