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Finding the Fourth Proportional to 334,883.27, 462,154.97 and 205,827.38

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Solution

The fourth proportional to 334,883.27, 462,154.97 and 205,827.38 is: 284,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,883.27 : 462,154.97 = 205,827.38 : x
  2. Step 2: Convert to fraction form
    334,883.27/462,154.97 = 205,827.38/x
  3. Step 3: Cross multiply
    334,883.27x = 462,154.97 × 205,827.38
  4. Step 4: Simplify right side
    334,883.27x = 95,124,143,289.17
  5. Step 5: Solve for x
    x = 95,124,143,289.17/334,883.27
  6. Step 6: Final answer
    x = 284,051.64

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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.