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Finding the Fourth Proportional to 463,447.50, 695,175.51 and 182,964.75

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Solution

The fourth proportional to 463,447.50, 695,175.51 and 182,964.75 is: 274,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,447.50 : 695,175.51 = 182,964.75 : x
  2. Step 2: Convert to fraction form
    463,447.50/695,175.51 = 182,964.75/x
  3. Step 3: Cross multiply
    463,447.50x = 695,175.51 × 182,964.75
  4. Step 4: Simplify right side
    463,447.50x = 127,192,613,393.27
  5. Step 5: Solve for x
    x = 127,192,613,393.27/463,447.50
  6. Step 6: Final answer
    x = 274,448.81

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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.