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Finding the Fourth Proportional to 410,408.53, 566,202.90 and 238,297.12

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Solution

The fourth proportional to 410,408.53, 566,202.90 and 238,297.12 is: 328,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,408.53 : 566,202.90 = 238,297.12 : x
  2. Step 2: Convert to fraction form
    410,408.53/566,202.90 = 238,297.12/x
  3. Step 3: Cross multiply
    410,408.53x = 566,202.90 × 238,297.12
  4. Step 4: Simplify right side
    410,408.53x = 134,924,520,405.65
  5. Step 5: Solve for x
    x = 134,924,520,405.65/410,408.53
  6. Step 6: Final answer
    x = 328,756.62

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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.