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Finding the Fourth Proportional to 514,434.72, 709,912.25 and 284,991.53

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Solution

The fourth proportional to 514,434.72, 709,912.25 and 284,991.53 is: 393,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,434.72 : 709,912.25 = 284,991.53 : x
  2. Step 2: Convert to fraction form
    514,434.72/709,912.25 = 284,991.53/x
  3. Step 3: Cross multiply
    514,434.72x = 709,912.25 × 284,991.53
  4. Step 4: Simplify right side
    514,434.72x = 202,318,973,318.72
  5. Step 5: Solve for x
    x = 202,318,973,318.72/514,434.72
  6. Step 6: Final answer
    x = 393,284.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.