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Finding the Fourth Proportional to 299,414.52, 413,261.51 and 197,458.38

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Solution

The fourth proportional to 299,414.52, 413,261.51 and 197,458.38 is: 272,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,414.52 : 413,261.51 = 197,458.38 : x
  2. Step 2: Convert to fraction form
    299,414.52/413,261.51 = 197,458.38/x
  3. Step 3: Cross multiply
    299,414.52x = 413,261.51 × 197,458.38
  4. Step 4: Simplify right side
    299,414.52x = 81,601,947,293.66
  5. Step 5: Solve for x
    x = 81,601,947,293.66/299,414.52
  6. Step 6: Final answer
    x = 272,538.38

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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.