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Finding the Fourth Proportional to 411,950.10, 617,233.95 and 201,134.10

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Solution

The fourth proportional to 411,950.10, 617,233.95 and 201,134.10 is: 301,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,950.10 : 617,233.95 = 201,134.10 : x
  2. Step 2: Convert to fraction form
    411,950.10/617,233.95 = 201,134.10/x
  3. Step 3: Cross multiply
    411,950.10x = 617,233.95 × 201,134.10
  4. Step 4: Simplify right side
    411,950.10x = 124,146,795,022.70
  5. Step 5: Solve for x
    x = 124,146,795,022.70/411,950.10
  6. Step 6: Final answer
    x = 301,363.67

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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.