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Finding the Fourth Proportional to 320,666.84, 442,781.82 and 206,002.43

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Solution

The fourth proportional to 320,666.84, 442,781.82 and 206,002.43 is: 284,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,666.84 : 442,781.82 = 206,002.43 : x
  2. Step 2: Convert to fraction form
    320,666.84/442,781.82 = 206,002.43/x
  3. Step 3: Cross multiply
    320,666.84x = 442,781.82 × 206,002.43
  4. Step 4: Simplify right side
    320,666.84x = 91,214,128,665.91
  5. Step 5: Solve for x
    x = 91,214,128,665.91/320,666.84
  6. Step 6: Final answer
    x = 284,451.40

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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.