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Finding the Fourth Proportional to 299,058.48, 448,568.28 and 158,896.08

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Solution

The fourth proportional to 299,058.48, 448,568.28 and 158,896.08 is: 238,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,058.48 : 448,568.28 = 158,896.08 : x
  2. Step 2: Convert to fraction form
    299,058.48/448,568.28 = 158,896.08/x
  3. Step 3: Cross multiply
    299,058.48x = 448,568.28 × 158,896.08
  4. Step 4: Simplify right side
    299,058.48x = 71,275,741,304.34
  5. Step 5: Solve for x
    x = 71,275,741,304.34/299,058.48
  6. Step 6: Final answer
    x = 238,333.79

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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.