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Finding the Fourth Proportional to 299,543.40, 413,371.62 and 163,575.72

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Solution

The fourth proportional to 299,543.40, 413,371.62 and 163,575.72 is: 225,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,543.40 : 413,371.62 = 163,575.72 : x
  2. Step 2: Convert to fraction form
    299,543.40/413,371.62 = 163,575.72/x
  3. Step 3: Cross multiply
    299,543.40x = 413,371.62 × 163,575.72
  4. Step 4: Simplify right side
    299,543.40x = 67,617,560,369.07
  5. Step 5: Solve for x
    x = 67,617,560,369.07/299,543.40
  6. Step 6: Final answer
    x = 225,735.44

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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.