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Finding the Fourth Proportional to 313,818.09, 433,067.76 and 177,878.22

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Solution

The fourth proportional to 313,818.09, 433,067.76 and 177,878.22 is: 245,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,818.09 : 433,067.76 = 177,878.22 : x
  2. Step 2: Convert to fraction form
    313,818.09/433,067.76 = 177,878.22/x
  3. Step 3: Cross multiply
    313,818.09x = 433,067.76 × 177,878.22
  4. Step 4: Simplify right side
    313,818.09x = 77,033,322,288.19
  5. Step 5: Solve for x
    x = 77,033,322,288.19/313,818.09
  6. Step 6: Final answer
    x = 245,471.26

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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.