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Finding the Fourth Proportional to 417,659.88, 576,371.02 and 226,673.32

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Solution

The fourth proportional to 417,659.88, 576,371.02 and 226,673.32 is: 312,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,659.88 : 576,371.02 = 226,673.32 : x
  2. Step 2: Convert to fraction form
    417,659.88/576,371.02 = 226,673.32/x
  3. Step 3: Cross multiply
    417,659.88x = 576,371.02 × 226,673.32
  4. Step 4: Simplify right side
    417,659.88x = 130,647,932,655.19
  5. Step 5: Solve for x
    x = 130,647,932,655.19/417,659.88
  6. Step 6: Final answer
    x = 312,809.39

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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.