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Finding the Fourth Proportional to 407,348.70, 610,777.59 and 182,668.50

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Solution

The fourth proportional to 407,348.70, 610,777.59 and 182,668.50 is: 273,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,348.70 : 610,777.59 = 182,668.50 : x
  2. Step 2: Convert to fraction form
    407,348.70/610,777.59 = 182,668.50/x
  3. Step 3: Cross multiply
    407,348.70x = 610,777.59 × 182,668.50
  4. Step 4: Simplify right side
    407,348.70x = 111,569,826,198.92
  5. Step 5: Solve for x
    x = 111,569,826,198.92/407,348.70
  6. Step 6: Final answer
    x = 273,892.68

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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.