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Finding the Fourth Proportional to 536,990.12, 805,835.62 and 200,300.11

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Solution

The fourth proportional to 536,990.12, 805,835.62 and 200,300.11 is: 300,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,990.12 : 805,835.62 = 200,300.11 : x
  2. Step 2: Convert to fraction form
    536,990.12/805,835.62 = 200,300.11/x
  3. Step 3: Cross multiply
    536,990.12x = 805,835.62 × 200,300.11
  4. Step 4: Simplify right side
    536,990.12x = 161,408,958,297.24
  5. Step 5: Solve for x
    x = 161,408,958,297.24/536,990.12
  6. Step 6: Final answer
    x = 300,580.87

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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.