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Finding the Fourth Proportional to 291,629.27, 402,448.43 and 157,493.27

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Solution

The fourth proportional to 291,629.27, 402,448.43 and 157,493.27 is: 217,340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,629.27 : 402,448.43 = 157,493.27 : x
  2. Step 2: Convert to fraction form
    291,629.27/402,448.43 = 157,493.27/x
  3. Step 3: Cross multiply
    291,629.27x = 402,448.43 × 157,493.27
  4. Step 4: Simplify right side
    291,629.27x = 63,382,919,247.07
  5. Step 5: Solve for x
    x = 63,382,919,247.07/291,629.27
  6. Step 6: Final answer
    x = 217,340.73

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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.