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Finding the Fourth Proportional to 410,753.11, 616,199.73 and 183,131.32

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Solution

The fourth proportional to 410,753.11, 616,199.73 and 183,131.32 is: 274,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,753.11 : 616,199.73 = 183,131.32 : x
  2. Step 2: Convert to fraction form
    410,753.11/616,199.73 = 183,131.32/x
  3. Step 3: Cross multiply
    410,753.11x = 616,199.73 × 183,131.32
  4. Step 4: Simplify right side
    410,753.11x = 112,845,469,022.89
  5. Step 5: Solve for x
    x = 112,845,469,022.89/410,753.11
  6. Step 6: Final answer
    x = 274,728.22

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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.