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Finding the Fourth Proportional to 299,285.54, 413,022.83 and 163,328.27

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Solution

The fourth proportional to 299,285.54, 413,022.83 and 163,328.27 is: 225,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,285.54 : 413,022.83 = 163,328.27 : x
  2. Step 2: Convert to fraction form
    299,285.54/413,022.83 = 163,328.27/x
  3. Step 3: Cross multiply
    299,285.54x = 413,022.83 × 163,328.27
  4. Step 4: Simplify right side
    299,285.54x = 67,458,304,510.32
  5. Step 5: Solve for x
    x = 67,458,304,510.32/299,285.54
  6. Step 6: Final answer
    x = 225,397.81

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1.5x scale

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.