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Finding the Fourth Proportional to 299,419.52, 413,268.41 and 197,463.38

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Solution

The fourth proportional to 299,419.52, 413,268.41 and 197,463.38 is: 272,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,419.52 : 413,268.41 = 197,463.38 : x
  2. Step 2: Convert to fraction form
    299,419.52/413,268.41 = 197,463.38/x
  3. Step 3: Cross multiply
    299,419.52x = 413,268.41 × 197,463.38
  4. Step 4: Simplify right side
    299,419.52x = 81,605,377,085.83
  5. Step 5: Solve for x
    x = 81,605,377,085.83/299,419.52
  6. Step 6: Final answer
    x = 272,545.28

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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.