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Finding the Fourth Proportional to 463,261.68, 694,899.81 and 182,776.50

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Solution

The fourth proportional to 463,261.68, 694,899.81 and 182,776.50 is: 274,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,261.68 : 694,899.81 = 182,776.50 : x
  2. Step 2: Convert to fraction form
    463,261.68/694,899.81 = 182,776.50/x
  3. Step 3: Cross multiply
    463,261.68x = 694,899.81 × 182,776.50
  4. Step 4: Simplify right side
    463,261.68x = 127,011,355,122.47
  5. Step 5: Solve for x
    x = 127,011,355,122.47/463,261.68
  6. Step 6: Final answer
    x = 274,167.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.