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Finding the Fourth Proportional to 514,072.63, 709,442.39 and 284,629.92

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Solution

The fourth proportional to 514,072.63, 709,442.39 and 284,629.92 is: 392,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,072.63 : 709,442.39 = 284,629.92 : x
  2. Step 2: Convert to fraction form
    514,072.63/709,442.39 = 284,629.92/x
  3. Step 3: Cross multiply
    514,072.63x = 709,442.39 × 284,629.92
  4. Step 4: Simplify right side
    514,072.63x = 201,928,528,761.48
  5. Step 5: Solve for x
    x = 201,928,528,761.48/514,072.63
  6. Step 6: Final answer
    x = 392,801.56

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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.