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Finding the Fourth Proportional to 685,702.50, 1,028,355.17 and 205,910.93

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Solution

The fourth proportional to 685,702.50, 1,028,355.17 and 205,910.93 is: 308,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,702.50 : 1,028,355.17 = 205,910.93 : x
  2. Step 2: Convert to fraction form
    685,702.50/1,028,355.17 = 205,910.93/x
  3. Step 3: Cross multiply
    685,702.50x = 1,028,355.17 × 205,910.93
  4. Step 4: Simplify right side
    685,702.50x = 211,749,563,253.68
  5. Step 5: Solve for x
    x = 211,749,563,253.68/685,702.50
  6. Step 6: Final answer
    x = 308,806.75

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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.