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Finding the Fourth Proportional to 411,785.94, 568,274.22 and 230,493.36

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Solution

The fourth proportional to 411,785.94, 568,274.22 and 230,493.36 is: 318,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,785.94 : 568,274.22 = 230,493.36 : x
  2. Step 2: Convert to fraction form
    411,785.94/568,274.22 = 230,493.36/x
  3. Step 3: Cross multiply
    411,785.94x = 568,274.22 × 230,493.36
  4. Step 4: Simplify right side
    411,785.94x = 130,983,434,369.18
  5. Step 5: Solve for x
    x = 130,983,434,369.18/411,785.94
  6. Step 6: Final answer
    x = 318,086.22

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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.