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Finding the Fourth Proportional to 411,749.57, 617,505.53 and 141,866.70

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Solution

The fourth proportional to 411,749.57, 617,505.53 and 141,866.70 is: 212,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,749.57 : 617,505.53 = 141,866.70 : x
  2. Step 2: Convert to fraction form
    411,749.57/617,505.53 = 141,866.70/x
  3. Step 3: Cross multiply
    411,749.57x = 617,505.53 × 141,866.70
  4. Step 4: Simplify right side
    411,749.57x = 87,603,471,063.52
  5. Step 5: Solve for x
    x = 87,603,471,063.52/411,749.57
  6. Step 6: Final answer
    x = 212,759.11

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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.