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Finding the Fourth Proportional to 365,966.39, 505,033.53 and 204,821.43

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Solution

The fourth proportional to 365,966.39, 505,033.53 and 204,821.43 is: 282,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,966.39 : 505,033.53 = 204,821.43 : x
  2. Step 2: Convert to fraction form
    365,966.39/505,033.53 = 204,821.43/x
  3. Step 3: Cross multiply
    365,966.39x = 505,033.53 × 204,821.43
  4. Step 4: Simplify right side
    365,966.39x = 103,441,689,812.55
  5. Step 5: Solve for x
    x = 103,441,689,812.55/365,966.39
  6. Step 6: Final answer
    x = 282,653.52

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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.