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Finding the Fourth Proportional to 517,629.43, 714,143.75 and 299,719.18

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Solution

The fourth proportional to 517,629.43, 714,143.75 and 299,719.18 is: 413,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,629.43 : 714,143.75 = 299,719.18 : x
  2. Step 2: Convert to fraction form
    517,629.43/714,143.75 = 299,719.18/x
  3. Step 3: Cross multiply
    517,629.43x = 714,143.75 × 299,719.18
  4. Step 4: Simplify right side
    517,629.43x = 214,042,578,546.21
  5. Step 5: Solve for x
    x = 214,042,578,546.21/517,629.43
  6. Step 6: Final answer
    x = 413,505.43

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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.