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Finding the Fourth Proportional to 564,196.73, 778,644.22 and 322,432.09

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Solution

The fourth proportional to 564,196.73, 778,644.22 and 322,432.09 is: 444,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,196.73 : 778,644.22 = 322,432.09 : x
  2. Step 2: Convert to fraction form
    564,196.73/778,644.22 = 322,432.09/x
  3. Step 3: Cross multiply
    564,196.73x = 778,644.22 × 322,432.09
  4. Step 4: Simplify right side
    564,196.73x = 251,059,879,327.80
  5. Step 5: Solve for x
    x = 251,059,879,327.80/564,196.73
  6. Step 6: Final answer
    x = 444,986.41

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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.