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Finding the Fourth Proportional to 594,753.89, 820,761.20 and 322,821.84

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Solution

The fourth proportional to 594,753.89, 820,761.20 and 322,821.84 is: 445,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,753.89 : 820,761.20 = 322,821.84 : x
  2. Step 2: Convert to fraction form
    594,753.89/820,761.20 = 322,821.84/x
  3. Step 3: Cross multiply
    594,753.89x = 820,761.20 × 322,821.84
  4. Step 4: Simplify right side
    594,753.89x = 264,959,639,170.50
  5. Step 5: Solve for x
    x = 264,959,639,170.50/594,753.89
  6. Step 6: Final answer
    x = 445,494.59

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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.