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Finding the Fourth Proportional to 296,002.77, 408,523.83 and 166,967.73

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Solution

The fourth proportional to 296,002.77, 408,523.83 and 166,967.73 is: 230,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,002.77 : 408,523.83 = 166,967.73 : x
  2. Step 2: Convert to fraction form
    296,002.77/408,523.83 = 166,967.73/x
  3. Step 3: Cross multiply
    296,002.77x = 408,523.83 × 166,967.73
  4. Step 4: Simplify right side
    296,002.77x = 68,210,296,546.01
  5. Step 5: Solve for x
    x = 68,210,296,546.01/296,002.77
  6. Step 6: Final answer
    x = 230,438.03

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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.