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Finding the Fourth Proportional to 293,532, 405,079.20 and 159,396

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Solution

The fourth proportional to 293,532, 405,079.20 and 159,396 is: 219,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,532 : 405,079.20 = 159,396 : x
  2. Step 2: Convert to fraction form
    293,532/405,079.20 = 159,396/x
  3. Step 3: Cross multiply
    293,532x = 405,079.20 × 159,396
  4. Step 4: Simplify right side
    293,532x = 64,568,004,163.20
  5. Step 5: Solve for x
    x = 64,568,004,163.20/293,532
  6. Step 6: Final answer
    x = 219,969.22

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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.