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Finding the Fourth Proportional to 594,664.98, 820,638.10 and 322,732.82

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Solution

The fourth proportional to 594,664.98, 820,638.10 and 322,732.82 is: 445,371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,664.98 : 820,638.10 = 322,732.82 : x
  2. Step 2: Convert to fraction form
    594,664.98/820,638.10 = 322,732.82/x
  3. Step 3: Cross multiply
    594,664.98x = 820,638.10 × 322,732.82
  4. Step 4: Simplify right side
    594,664.98x = 264,846,843,302.42
  5. Step 5: Solve for x
    x = 264,846,843,302.42/594,664.98
  6. Step 6: Final answer
    x = 445,371.52

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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.