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Finding the Fourth Proportional to 463,610.33, 695,515.39 and 143,755.76

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Solution

The fourth proportional to 463,610.33, 695,515.39 and 143,755.76 is: 215,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,610.33 : 695,515.39 = 143,755.76 : x
  2. Step 2: Convert to fraction form
    463,610.33/695,515.39 = 143,755.76/x
  3. Step 3: Cross multiply
    463,610.33x = 695,515.39 × 143,755.76
  4. Step 4: Simplify right side
    463,610.33x = 99,984,343,481.15
  5. Step 5: Solve for x
    x = 99,984,343,481.15/463,610.33
  6. Step 6: Final answer
    x = 215,664.62

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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.