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Finding the Fourth Proportional to 295,716.77, 408,079.40 and 186,879.27

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Solution

The fourth proportional to 295,716.77, 408,079.40 and 186,879.27 is: 257,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,716.77 : 408,079.40 = 186,879.27 : x
  2. Step 2: Convert to fraction form
    295,716.77/408,079.40 = 186,879.27/x
  3. Step 3: Cross multiply
    295,716.77x = 408,079.40 × 186,879.27
  4. Step 4: Simplify right side
    295,716.77x = 76,261,580,841.24
  5. Step 5: Solve for x
    x = 76,261,580,841.24/295,716.77
  6. Step 6: Final answer
    x = 257,887.24

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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.