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Finding the Fourth Proportional to 580,408.52, 801,014.06 and 322,335.23

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Solution

The fourth proportional to 580,408.52, 801,014.06 and 322,335.23 is: 444,850.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,408.52 : 801,014.06 = 322,335.23 : x
  2. Step 2: Convert to fraction form
    580,408.52/801,014.06 = 322,335.23/x
  3. Step 3: Cross multiply
    580,408.52x = 801,014.06 × 322,335.23
  4. Step 4: Simplify right side
    580,408.52x = 258,195,045,646.59
  5. Step 5: Solve for x
    x = 258,195,045,646.59/580,408.52
  6. Step 6: Final answer
    x = 444,850.55

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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.