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Finding the Fourth Proportional to 411,034.77, 617,111.26 and 231,246.71

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Solution

The fourth proportional to 411,034.77, 617,111.26 and 231,246.71 is: 347,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,034.77 : 617,111.26 = 231,246.71 : x
  2. Step 2: Convert to fraction form
    411,034.77/617,111.26 = 231,246.71/x
  3. Step 3: Cross multiply
    411,034.77x = 617,111.26 × 231,246.71
  4. Step 4: Simplify right side
    411,034.77x = 142,704,950,700.70
  5. Step 5: Solve for x
    x = 142,704,950,700.70/411,034.77
  6. Step 6: Final answer
    x = 347,184.62

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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.