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Finding the Fourth Proportional to 420,390, 580,400.64 and 269,749.44

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Solution

The fourth proportional to 420,390, 580,400.64 and 269,749.44 is: 372,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,390 : 580,400.64 = 269,749.44 : x
  2. Step 2: Convert to fraction form
    420,390/580,400.64 = 269,749.44/x
  3. Step 3: Cross multiply
    420,390x = 580,400.64 × 269,749.44
  4. Step 4: Simplify right side
    420,390x = 156,562,747,615.64
  5. Step 5: Solve for x
    x = 156,562,747,615.64/420,390
  6. Step 6: Final answer
    x = 372,422.63

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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.