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Finding the Fourth Proportional to 580,826.84, 801,544.25 and 322,704.14

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Solution

The fourth proportional to 580,826.84, 801,544.25 and 322,704.14 is: 445,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,826.84 : 801,544.25 = 322,704.14 : x
  2. Step 2: Convert to fraction form
    580,826.84/801,544.25 = 322,704.14/x
  3. Step 3: Cross multiply
    580,826.84x = 801,544.25 × 322,704.14
  4. Step 4: Simplify right side
    580,826.84x = 258,661,646,254.67
  5. Step 5: Solve for x
    x = 258,661,646,254.67/580,826.84
  6. Step 6: Final answer
    x = 445,333.49

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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.