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Finding the Fourth Proportional to 299,882.70, 413,849.21 and 163,925.73

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Solution

The fourth proportional to 299,882.70, 413,849.21 and 163,925.73 is: 226,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,882.70 : 413,849.21 = 163,925.73 : x
  2. Step 2: Convert to fraction form
    299,882.70/413,849.21 = 163,925.73/x
  3. Step 3: Cross multiply
    299,882.70x = 413,849.21 × 163,925.73
  4. Step 4: Simplify right side
    299,882.70x = 67,840,533,039.54
  5. Step 5: Solve for x
    x = 67,840,533,039.54/299,882.70
  6. Step 6: Final answer
    x = 226,223.56

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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.