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Finding the Fourth Proportional to 367,758.58, 507,558 and 206,626.10

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Solution

The fourth proportional to 367,758.58, 507,558 and 206,626.10 is: 285,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,758.58 : 507,558 = 206,626.10 : x
  2. Step 2: Convert to fraction form
    367,758.58/507,558 = 206,626.10/x
  3. Step 3: Cross multiply
    367,758.58x = 507,558 × 206,626.10
  4. Step 4: Simplify right side
    367,758.58x = 104,874,730,063.80
  5. Step 5: Solve for x
    x = 104,874,730,063.80/367,758.58
  6. Step 6: Final answer
    x = 285,172.76

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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.