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Finding the Fourth Proportional to 461,067.96, 691,265.79 and 310,935.27

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Solution

The fourth proportional to 461,067.96, 691,265.79 and 310,935.27 is: 466,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,067.96 : 691,265.79 = 310,935.27 : x
  2. Step 2: Convert to fraction form
    461,067.96/691,265.79 = 310,935.27/x
  3. Step 3: Cross multiply
    461,067.96x = 691,265.79 × 310,935.27
  4. Step 4: Simplify right side
    461,067.96x = 214,938,915,055.41
  5. Step 5: Solve for x
    x = 214,938,915,055.41/461,067.96
  6. Step 6: Final answer
    x = 466,176.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.