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Finding the Fourth Proportional to 230,768.64, 346,471.56 and 159,515.64

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Solution

The fourth proportional to 230,768.64, 346,471.56 and 159,515.64 is: 239,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,768.64 : 346,471.56 = 159,515.64 : x
  2. Step 2: Convert to fraction form
    230,768.64/346,471.56 = 159,515.64/x
  3. Step 3: Cross multiply
    230,768.64x = 346,471.56 × 159,515.64
  4. Step 4: Simplify right side
    230,768.64x = 55,267,632,635.20
  5. Step 5: Solve for x
    x = 55,267,632,635.20/230,768.64
  6. Step 6: Final answer
    x = 239,493.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.