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Finding the Fourth Proportional to 463,950.66, 695,755.29 and 160,267.56

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Solution

The fourth proportional to 463,950.66, 695,755.29 and 160,267.56 is: 240,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,950.66 : 695,755.29 = 160,267.56 : x
  2. Step 2: Convert to fraction form
    463,950.66/695,755.29 = 160,267.56/x
  3. Step 3: Cross multiply
    463,950.66x = 695,755.29 × 160,267.56
  4. Step 4: Simplify right side
    463,950.66x = 111,507,002,685.39
  5. Step 5: Solve for x
    x = 111,507,002,685.39/463,950.66
  6. Step 6: Final answer
    x = 240,342.37

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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.