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Finding the Fourth Proportional to 414,557.87, 572,092.34 and 233,272.85

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Solution

The fourth proportional to 414,557.87, 572,092.34 and 233,272.85 is: 321,917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,557.87 : 572,092.34 = 233,272.85 : x
  2. Step 2: Convert to fraction form
    414,557.87/572,092.34 = 233,272.85/x
  3. Step 3: Cross multiply
    414,557.87x = 572,092.34 × 233,272.85
  4. Step 4: Simplify right side
    414,557.87x = 133,453,606,588.14
  5. Step 5: Solve for x
    x = 133,453,606,588.14/414,557.87
  6. Step 6: Final answer
    x = 321,917.92

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