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Finding the Fourth Proportional to 299,798.06, 413,727.24 and 163,840.42

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Solution

The fourth proportional to 299,798.06, 413,727.24 and 163,840.42 is: 226,103.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,798.06 : 413,727.24 = 163,840.42 : x
  2. Step 2: Convert to fraction form
    299,798.06/413,727.24 = 163,840.42/x
  3. Step 3: Cross multiply
    299,798.06x = 413,727.24 × 163,840.42
  4. Step 4: Simplify right side
    299,798.06x = 67,785,245,898.60
  5. Step 5: Solve for x
    x = 67,785,245,898.60/299,798.06
  6. Step 6: Final answer
    x = 226,103.02

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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.