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Finding the Fourth Proportional to 312,104.91, 431,145.69 and 248,361.15

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Solution

The fourth proportional to 312,104.91, 431,145.69 and 248,361.15 is: 343,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,104.91 : 431,145.69 = 248,361.15 : x
  2. Step 2: Convert to fraction form
    312,104.91/431,145.69 = 248,361.15/x
  3. Step 3: Cross multiply
    312,104.91x = 431,145.69 × 248,361.15
  4. Step 4: Simplify right side
    312,104.91x = 107,079,839,385.94
  5. Step 5: Solve for x
    x = 107,079,839,385.94/312,104.91
  6. Step 6: Final answer
    x = 343,089.25

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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.