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Finding the Fourth Proportional to 413,843.90, 571,114.76 and 232,544.97

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Solution

The fourth proportional to 413,843.90, 571,114.76 and 232,544.97 is: 320,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,843.90 : 571,114.76 = 232,544.97 : x
  2. Step 2: Convert to fraction form
    413,843.90/571,114.76 = 232,544.97/x
  3. Step 3: Cross multiply
    413,843.90x = 571,114.76 × 232,544.97
  4. Step 4: Simplify right side
    413,843.90x = 132,809,863,568.03
  5. Step 5: Solve for x
    x = 132,809,863,568.03/413,843.90
  6. Step 6: Final answer
    x = 320,917.78

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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.