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Finding the Fourth Proportional to 536,989.12, 805,834.12 and 200,299.11

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Solution

The fourth proportional to 536,989.12, 805,834.12 and 200,299.11 is: 300,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,989.12 : 805,834.12 = 200,299.11 : x
  2. Step 2: Convert to fraction form
    536,989.12/805,834.12 = 200,299.11/x
  3. Step 3: Cross multiply
    536,989.12x = 805,834.12 × 200,299.11
  4. Step 4: Simplify right side
    536,989.12x = 161,407,852,012.97
  5. Step 5: Solve for x
    x = 161,407,852,012.97/536,989.12
  6. Step 6: Final answer
    x = 300,579.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.