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Finding the Fourth Proportional to 661,214.70, 993,936.15 and 614,412.90

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Solution

The fourth proportional to 661,214.70, 993,936.15 and 614,412.90 is: 923,583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,214.70 : 993,936.15 = 614,412.90 : x
  2. Step 2: Convert to fraction form
    661,214.70/993,936.15 = 614,412.90/x
  3. Step 3: Cross multiply
    661,214.70x = 993,936.15 × 614,412.90
  4. Step 4: Simplify right side
    661,214.70x = 610,687,192,336.34
  5. Step 5: Solve for x
    x = 610,687,192,336.34/661,214.70
  6. Step 6: Final answer
    x = 923,583.81

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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.