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Finding the Fourth Proportional to 410,755.76, 616,203.69 and 183,133.97

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Solution

The fourth proportional to 410,755.76, 616,203.69 and 183,133.97 is: 274,732.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,755.76 : 616,203.69 = 183,133.97 : x
  2. Step 2: Convert to fraction form
    410,755.76/616,203.69 = 183,133.97/x
  3. Step 3: Cross multiply
    410,755.76x = 616,203.69 × 183,133.97
  4. Step 4: Simplify right side
    410,755.76x = 112,847,824,997.33
  5. Step 5: Solve for x
    x = 112,847,824,997.33/410,755.76
  6. Step 6: Final answer
    x = 274,732.18

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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.