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Finding the Fourth Proportional to 621,753.12, 932,396.40 and 200,916

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Solution

The fourth proportional to 621,753.12, 932,396.40 and 200,916 is: 301,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,753.12 : 932,396.40 = 200,916 : x
  2. Step 2: Convert to fraction form
    621,753.12/932,396.40 = 200,916/x
  3. Step 3: Cross multiply
    621,753.12x = 932,396.40 × 200,916
  4. Step 4: Simplify right side
    621,753.12x = 187,333,355,102.40
  5. Step 5: Solve for x
    x = 187,333,355,102.40/621,753.12
  6. Step 6: Final answer
    x = 301,298.62

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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.