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Finding the Fourth Proportional to 271,610.40, 407,561.40 and 113,854.80

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Solution

The fourth proportional to 271,610.40, 407,561.40 and 113,854.80 is: 170,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,610.40 : 407,561.40 = 113,854.80 : x
  2. Step 2: Convert to fraction form
    271,610.40/407,561.40 = 113,854.80/x
  3. Step 3: Cross multiply
    271,610.40x = 407,561.40 × 113,854.80
  4. Step 4: Simplify right side
    271,610.40x = 46,402,821,684.72
  5. Step 5: Solve for x
    x = 46,402,821,684.72/271,610.40
  6. Step 6: Final answer
    x = 170,843.32

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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.