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Finding the Fourth Proportional to 514,370.68, 709,806.84 and 284,912.47

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Solution

The fourth proportional to 514,370.68, 709,806.84 and 284,912.47 is: 393,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,370.68 : 709,806.84 = 284,912.47 : x
  2. Step 2: Convert to fraction form
    514,370.68/709,806.84 = 284,912.47/x
  3. Step 3: Cross multiply
    514,370.68x = 709,806.84 × 284,912.47
  4. Step 4: Simplify right side
    514,370.68x = 202,232,820,007.30
  5. Step 5: Solve for x
    x = 202,232,820,007.30/514,370.68
  6. Step 6: Final answer
    x = 393,165.53

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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.