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Finding the Fourth Proportional to 299,891.37, 413,850.06 and 163,925.86

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Solution

The fourth proportional to 299,891.37, 413,850.06 and 163,925.86 is: 226,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,891.37 : 413,850.06 = 163,925.86 : x
  2. Step 2: Convert to fraction form
    299,891.37/413,850.06 = 163,925.86/x
  3. Step 3: Cross multiply
    299,891.37x = 413,850.06 × 163,925.86
  4. Step 4: Simplify right side
    299,891.37x = 67,840,726,996.55
  5. Step 5: Solve for x
    x = 67,840,726,996.55/299,891.37
  6. Step 6: Final answer
    x = 226,217.67

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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.