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Finding the Fourth Proportional to 514,471.37, 709,913.03 and 284,971.73

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Solution

The fourth proportional to 514,471.37, 709,913.03 and 284,971.73 is: 393,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,471.37 : 709,913.03 = 284,971.73 : x
  2. Step 2: Convert to fraction form
    514,471.37/709,913.03 = 284,971.73/x
  3. Step 3: Cross multiply
    514,471.37x = 709,913.03 × 284,971.73
  4. Step 4: Simplify right side
    514,471.37x = 202,305,139,334.22
  5. Step 5: Solve for x
    x = 202,305,139,334.22/514,471.37
  6. Step 6: Final answer
    x = 393,229.15

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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.