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Finding the Fourth Proportional to 299,058.40, 448,069.20 and 193,823.20

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Solution

The fourth proportional to 299,058.40, 448,069.20 and 193,823.20 is: 290,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,058.40 : 448,069.20 = 193,823.20 : x
  2. Step 2: Convert to fraction form
    299,058.40/448,069.20 = 193,823.20/x
  3. Step 3: Cross multiply
    299,058.40x = 448,069.20 × 193,823.20
  4. Step 4: Simplify right side
    299,058.40x = 86,846,206,165.44
  5. Step 5: Solve for x
    x = 86,846,206,165.44/299,058.40
  6. Step 6: Final answer
    x = 290,398.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.