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Finding the Fourth Proportional to 594,769.32, 820,781.82 and 322,837.20

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Solution

The fourth proportional to 594,769.32, 820,781.82 and 322,837.20 is: 445,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,769.32 : 820,781.82 = 322,837.20 : x
  2. Step 2: Convert to fraction form
    594,769.32/820,781.82 = 322,837.20/x
  3. Step 3: Cross multiply
    594,769.32x = 820,781.82 × 322,837.20
  4. Step 4: Simplify right side
    594,769.32x = 264,978,904,579.70
  5. Step 5: Solve for x
    x = 264,978,904,579.70/594,769.32
  6. Step 6: Final answer
    x = 445,515.42

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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.