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Finding the Fourth Proportional to 334,450.13, 461,541.17 and 200,314.13

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Solution

The fourth proportional to 334,450.13, 461,541.17 and 200,314.13 is: 276,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,450.13 : 461,541.17 = 200,314.13 : x
  2. Step 2: Convert to fraction form
    334,450.13/461,541.17 = 200,314.13/x
  3. Step 3: Cross multiply
    334,450.13x = 461,541.17 × 200,314.13
  4. Step 4: Simplify right side
    334,450.13x = 92,453,216,120.81
  5. Step 5: Solve for x
    x = 92,453,216,120.81/334,450.13
  6. Step 6: Final answer
    x = 276,433.49

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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.