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Finding the Fourth Proportional to 420,311.68, 580,244.16 and 324,603.52

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Solution

The fourth proportional to 420,311.68, 580,244.16 and 324,603.52 is: 448,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,311.68 : 580,244.16 = 324,603.52 : x
  2. Step 2: Convert to fraction form
    420,311.68/580,244.16 = 324,603.52/x
  3. Step 3: Cross multiply
    420,311.68x = 580,244.16 × 324,603.52
  4. Step 4: Simplify right side
    420,311.68x = 188,349,296,795.44
  5. Step 5: Solve for x
    x = 188,349,296,795.44/420,311.68
  6. Step 6: Final answer
    x = 448,118.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.