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Finding the Fourth Proportional to 367,315.34, 506,856.22 and 206,188.12

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Solution

The fourth proportional to 367,315.34, 506,856.22 and 206,188.12 is: 284,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,315.34 : 506,856.22 = 206,188.12 : x
  2. Step 2: Convert to fraction form
    367,315.34/506,856.22 = 206,188.12/x
  3. Step 3: Cross multiply
    367,315.34x = 506,856.22 × 206,188.12
  4. Step 4: Simplify right side
    367,315.34x = 104,507,731,112.11
  5. Step 5: Solve for x
    x = 104,507,731,112.11/367,315.34
  6. Step 6: Final answer
    x = 284,517.74

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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.