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Finding the Fourth Proportional to 299,425.52, 413,201.04 and 163,462.16

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Solution

The fourth proportional to 299,425.52, 413,201.04 and 163,462.16 is: 225,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,425.52 : 413,201.04 = 163,462.16 : x
  2. Step 2: Convert to fraction form
    299,425.52/413,201.04 = 163,462.16/x
  3. Step 3: Cross multiply
    299,425.52x = 413,201.04 × 163,462.16
  4. Step 4: Simplify right side
    299,425.52x = 67,542,734,512.65
  5. Step 5: Solve for x
    x = 67,542,734,512.65/299,425.52
  6. Step 6: Final answer
    x = 225,574.41

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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.