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Finding the Fourth Proportional to 617,286.83, 852,147.08 and 464,383.39

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Solution

The fourth proportional to 617,286.83, 852,147.08 and 464,383.39 is: 641,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,286.83 : 852,147.08 = 464,383.39 : x
  2. Step 2: Convert to fraction form
    617,286.83/852,147.08 = 464,383.39/x
  3. Step 3: Cross multiply
    617,286.83x = 852,147.08 × 464,383.39
  4. Step 4: Simplify right side
    617,286.83x = 395,722,948,819.59
  5. Step 5: Solve for x
    x = 395,722,948,819.59/617,286.83
  6. Step 6: Final answer
    x = 641,068.18

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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.