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Finding the Fourth Proportional to 242,816.67, 334,324.49 and 206,446.59

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Solution

The fourth proportional to 242,816.67, 334,324.49 and 206,446.59 is: 284,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,816.67 : 334,324.49 = 206,446.59 : x
  2. Step 2: Convert to fraction form
    242,816.67/334,324.49 = 206,446.59/x
  3. Step 3: Cross multiply
    242,816.67x = 334,324.49 × 206,446.59
  4. Step 4: Simplify right side
    242,816.67x = 69,020,149,881.76
  5. Step 5: Solve for x
    x = 69,020,149,881.76/242,816.67
  6. Step 6: Final answer
    x = 284,247.99

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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.