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Finding the Fourth Proportional to 298,299.67, 411,653.55 and 164,163.67

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Solution

The fourth proportional to 298,299.67, 411,653.55 and 164,163.67 is: 226,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,299.67 : 411,653.55 = 164,163.67 : x
  2. Step 2: Convert to fraction form
    298,299.67/411,653.55 = 164,163.67/x
  3. Step 3: Cross multiply
    298,299.67x = 411,653.55 × 164,163.67
  4. Step 4: Simplify right side
    298,299.67x = 67,578,557,536.53
  5. Step 5: Solve for x
    x = 67,578,557,536.53/298,299.67
  6. Step 6: Final answer
    x = 226,545.87

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1.5x scale

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.