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Finding the Fourth Proportional to 417,925.68, 576,732.40 and 226,940.43

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Solution

The fourth proportional to 417,925.68, 576,732.40 and 226,940.43 is: 313,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,925.68 : 576,732.40 = 226,940.43 : x
  2. Step 2: Convert to fraction form
    417,925.68/576,732.40 = 226,940.43/x
  3. Step 3: Cross multiply
    417,925.68x = 576,732.40 × 226,940.43
  4. Step 4: Simplify right side
    417,925.68x = 130,883,901,722.87
  5. Step 5: Solve for x
    x = 130,883,901,722.87/417,925.68
  6. Step 6: Final answer
    x = 313,175.07

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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.