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Finding the Fourth Proportional to 610,422.24, 842,367.60 and 338,491.20

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Solution

The fourth proportional to 610,422.24, 842,367.60 and 338,491.20 is: 467,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,422.24 : 842,367.60 = 338,491.20 : x
  2. Step 2: Convert to fraction form
    610,422.24/842,367.60 = 338,491.20/x
  3. Step 3: Cross multiply
    610,422.24x = 842,367.60 × 338,491.20
  4. Step 4: Simplify right side
    610,422.24x = 285,134,019,765.12
  5. Step 5: Solve for x
    x = 285,134,019,765.12/610,422.24
  6. Step 6: Final answer
    x = 467,109.49

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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.