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Finding the Fourth Proportional to 289,234.32, 399,121.20 and 161,892.60

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Solution

The fourth proportional to 289,234.32, 399,121.20 and 161,892.60 is: 223,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,234.32 : 399,121.20 = 161,892.60 : x
  2. Step 2: Convert to fraction form
    289,234.32/399,121.20 = 161,892.60/x
  3. Step 3: Cross multiply
    289,234.32x = 399,121.20 × 161,892.60
  4. Step 4: Simplify right side
    289,234.32x = 64,614,768,783.12
  5. Step 5: Solve for x
    x = 64,614,768,783.12/289,234.32
  6. Step 6: Final answer
    x = 223,399.38

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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.