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Finding the Fourth Proportional to 349,544.84, 523,189.56 and 180,832.84

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Solution

The fourth proportional to 349,544.84, 523,189.56 and 180,832.84 is: 270,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,544.84 : 523,189.56 = 180,832.84 : x
  2. Step 2: Convert to fraction form
    349,544.84/523,189.56 = 180,832.84/x
  3. Step 3: Cross multiply
    349,544.84x = 523,189.56 × 180,832.84
  4. Step 4: Simplify right side
    349,544.84x = 94,609,853,993.15
  5. Step 5: Solve for x
    x = 94,609,853,993.15/349,544.84
  6. Step 6: Final answer
    x = 270,665.86

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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.