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Finding the Fourth Proportional to 482,002.24, 665,137.48 and 278,041

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Solution

The fourth proportional to 482,002.24, 665,137.48 and 278,041 is: 383,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,002.24 : 665,137.48 = 278,041 : x
  2. Step 2: Convert to fraction form
    482,002.24/665,137.48 = 278,041/x
  3. Step 3: Cross multiply
    482,002.24x = 665,137.48 × 278,041
  4. Step 4: Simplify right side
    482,002.24x = 184,935,490,076.68
  5. Step 5: Solve for x
    x = 184,935,490,076.68/482,002.24
  6. Step 6: Final answer
    x = 383,681.81

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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.