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Finding the Fourth Proportional to 686,676.22, 1,029,817.50 and 206,950.48

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Solution

The fourth proportional to 686,676.22, 1,029,817.50 and 206,950.48 is: 310,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,676.22 : 1,029,817.50 = 206,950.48 : x
  2. Step 2: Convert to fraction form
    686,676.22/1,029,817.50 = 206,950.48/x
  3. Step 3: Cross multiply
    686,676.22x = 1,029,817.50 × 206,950.48
  4. Step 4: Simplify right side
    686,676.22x = 213,121,225,937.40
  5. Step 5: Solve for x
    x = 213,121,225,937.40/686,676.22
  6. Step 6: Final answer
    x = 310,366.40

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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.