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Finding the Fourth Proportional to 594,999, 821,016 and 349,994.88

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Solution

The fourth proportional to 594,999, 821,016 and 349,994.88 is: 482,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,999 : 821,016 = 349,994.88 : x
  2. Step 2: Convert to fraction form
    594,999/821,016 = 349,994.88/x
  3. Step 3: Cross multiply
    594,999x = 821,016 × 349,994.88
  4. Step 4: Simplify right side
    594,999x = 287,351,396,398.08
  5. Step 5: Solve for x
    x = 287,351,396,398.08/594,999
  6. Step 6: Final answer
    x = 482,944.34

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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.