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Finding the Fourth Proportional to 427,961.38, 591,201.86 and 341,807.24

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Solution

The fourth proportional to 427,961.38, 591,201.86 and 341,807.24 is: 472,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,961.38 : 591,201.86 = 341,807.24 : x
  2. Step 2: Convert to fraction form
    427,961.38/591,201.86 = 341,807.24/x
  3. Step 3: Cross multiply
    427,961.38x = 591,201.86 × 341,807.24
  4. Step 4: Simplify right side
    427,961.38x = 202,077,074,340.43
  5. Step 5: Solve for x
    x = 202,077,074,340.43/427,961.38
  6. Step 6: Final answer
    x = 472,185.31

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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.