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Finding the Fourth Proportional to 338,758.67, 507,977.03 and 196,647.50

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Solution

The fourth proportional to 338,758.67, 507,977.03 and 196,647.50 is: 294,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,758.67 : 507,977.03 = 196,647.50 : x
  2. Step 2: Convert to fraction form
    338,758.67/507,977.03 = 196,647.50/x
  3. Step 3: Cross multiply
    338,758.67x = 507,977.03 × 196,647.50
  4. Step 4: Simplify right side
    338,758.67x = 99,892,414,768.49
  5. Step 5: Solve for x
    x = 99,892,414,768.49/338,758.67
  6. Step 6: Final answer
    x = 294,877.81

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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.