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Finding the Fourth Proportional to 617,016, 851,446.56 and 341,357.28

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Solution

The fourth proportional to 617,016, 851,446.56 and 341,357.28 is: 471,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,016 : 851,446.56 = 341,357.28 : x
  2. Step 2: Convert to fraction form
    617,016/851,446.56 = 341,357.28/x
  3. Step 3: Cross multiply
    617,016x = 851,446.56 × 341,357.28
  4. Step 4: Simplify right side
    617,016x = 290,647,481,786.96
  5. Step 5: Solve for x
    x = 290,647,481,786.96/617,016
  6. Step 6: Final answer
    x = 471,053.40

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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.