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Finding the Fourth Proportional to 685,668.69, 1,029,166.42 and 330,932.43

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Solution

The fourth proportional to 685,668.69, 1,029,166.42 and 330,932.43 is: 496,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,668.69 : 1,029,166.42 = 330,932.43 : x
  2. Step 2: Convert to fraction form
    685,668.69/1,029,166.42 = 330,932.43/x
  3. Step 3: Cross multiply
    685,668.69x = 1,029,166.42 × 330,932.43
  4. Step 4: Simplify right side
    685,668.69x = 340,584,539,099.17
  5. Step 5: Solve for x
    x = 340,584,539,099.17/685,668.69
  6. Step 6: Final answer
    x = 496,718.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.