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Finding the Fourth Proportional to 552,247.96, 827,289.34 and 286,183

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Solution

The fourth proportional to 552,247.96, 827,289.34 and 286,183 is: 428,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,247.96 : 827,289.34 = 286,183 : x
  2. Step 2: Convert to fraction form
    552,247.96/827,289.34 = 286,183/x
  3. Step 3: Cross multiply
    552,247.96x = 827,289.34 × 286,183
  4. Step 4: Simplify right side
    552,247.96x = 236,756,145,189.22
  5. Step 5: Solve for x
    x = 236,756,145,189.22/552,247.96
  6. Step 6: Final answer
    x = 428,713.48

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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.