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Finding the Fourth Proportional to 365,217.06, 547,950.14 and 196,754.67

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Solution

The fourth proportional to 365,217.06, 547,950.14 and 196,754.67 is: 295,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,217.06 : 547,950.14 = 196,754.67 : x
  2. Step 2: Convert to fraction form
    365,217.06/547,950.14 = 196,754.67/x
  3. Step 3: Cross multiply
    365,217.06x = 547,950.14 × 196,754.67
  4. Step 4: Simplify right side
    365,217.06x = 107,811,749,464.04
  5. Step 5: Solve for x
    x = 107,811,749,464.04/365,217.06
  6. Step 6: Final answer
    x = 295,199.11

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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.