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Finding the Fourth Proportional to 411,162.23, 617,302.88 and 231,374.68

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Solution

The fourth proportional to 411,162.23, 617,302.88 and 231,374.68 is: 347,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,162.23 : 617,302.88 = 231,374.68 : x
  2. Step 2: Convert to fraction form
    411,162.23/617,302.88 = 231,374.68/x
  3. Step 3: Cross multiply
    411,162.23x = 617,302.88 × 231,374.68
  4. Step 4: Simplify right side
    411,162.23x = 142,828,253,236.56
  5. Step 5: Solve for x
    x = 142,828,253,236.56/411,162.23
  6. Step 6: Final answer
    x = 347,376.89

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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.