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Finding the Fourth Proportional to 299,285.29, 413,022.48 and 163,328.02

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Solution

The fourth proportional to 299,285.29, 413,022.48 and 163,328.02 is: 225,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,285.29 : 413,022.48 = 163,328.02 : x
  2. Step 2: Convert to fraction form
    299,285.29/413,022.48 = 163,328.02/x
  3. Step 3: Cross multiply
    299,285.29x = 413,022.48 × 163,328.02
  4. Step 4: Simplify right side
    299,285.29x = 67,458,143,357.61
  5. Step 5: Solve for x
    x = 67,458,143,357.61/299,285.29
  6. Step 6: Final answer
    x = 225,397.46

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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.