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Finding the Fourth Proportional to 580,434, 801,049.26 and 322,360.74

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Solution

The fourth proportional to 580,434, 801,049.26 and 322,360.74 is: 444,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,434 : 801,049.26 = 322,360.74 : x
  2. Step 2: Convert to fraction form
    580,434/801,049.26 = 322,360.74/x
  3. Step 3: Cross multiply
    580,434x = 801,049.26 × 322,360.74
  4. Step 4: Simplify right side
    580,434x = 258,226,832,230.05
  5. Step 5: Solve for x
    x = 258,226,832,230.05/580,434
  6. Step 6: Final answer
    x = 444,885.78

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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.