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Finding the Fourth Proportional to 514,450.80, 709,941.92 and 285,022.96

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Solution

The fourth proportional to 514,450.80, 709,941.92 and 285,022.96 is: 393,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,450.80 : 709,941.92 = 285,022.96 : x
  2. Step 2: Convert to fraction form
    514,450.80/709,941.92 = 285,022.96/x
  3. Step 3: Cross multiply
    514,450.80x = 709,941.92 × 285,022.96
  4. Step 4: Simplify right side
    514,450.80x = 202,349,747,466.48
  5. Step 5: Solve for x
    x = 202,349,747,466.48/514,450.80
  6. Step 6: Final answer
    x = 393,331.58

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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.