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Finding the Fourth Proportional to 299,587.44, 413,412.37 and 163,593.75

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Solution

The fourth proportional to 299,587.44, 413,412.37 and 163,593.75 is: 225,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,587.44 : 413,412.37 = 163,593.75 : x
  2. Step 2: Convert to fraction form
    299,587.44/413,412.37 = 163,593.75/x
  3. Step 3: Cross multiply
    299,587.44x = 413,412.37 × 163,593.75
  4. Step 4: Simplify right side
    299,587.44x = 67,631,679,495.70
  5. Step 5: Solve for x
    x = 67,631,679,495.70/299,587.44
  6. Step 6: Final answer
    x = 225,749.38

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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.