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Finding the Fourth Proportional to 548,720.41, 827,193.40 and 512,142.84

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Solution

The fourth proportional to 548,720.41, 827,193.40 and 512,142.84 is: 772,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,720.41 : 827,193.40 = 512,142.84 : x
  2. Step 2: Convert to fraction form
    548,720.41/827,193.40 = 512,142.84/x
  3. Step 3: Cross multiply
    548,720.41x = 827,193.40 × 512,142.84
  4. Step 4: Simplify right side
    548,720.41x = 423,641,177,105.26
  5. Step 5: Solve for x
    x = 423,641,177,105.26/548,720.41
  6. Step 6: Final answer
    x = 772,052.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.