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Finding the Fourth Proportional to 414,611.82, 572,175.36 and 233,330.22

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Solution

The fourth proportional to 414,611.82, 572,175.36 and 233,330.22 is: 322,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,611.82 : 572,175.36 = 233,330.22 : x
  2. Step 2: Convert to fraction form
    414,611.82/572,175.36 = 233,330.22/x
  3. Step 3: Cross multiply
    414,611.82x = 572,175.36 × 233,330.22
  4. Step 4: Simplify right side
    414,611.82x = 133,505,802,627.38
  5. Step 5: Solve for x
    x = 133,505,802,627.38/414,611.82
  6. Step 6: Final answer
    x = 322,001.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.