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Finding the Fourth Proportional to 427,539.26, 589,995.07 and 233,946.17

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Solution

The fourth proportional to 427,539.26, 589,995.07 and 233,946.17 is: 322,840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,539.26 : 589,995.07 = 233,946.17 : x
  2. Step 2: Convert to fraction form
    427,539.26/589,995.07 = 233,946.17/x
  3. Step 3: Cross multiply
    427,539.26x = 589,995.07 × 233,946.17
  4. Step 4: Simplify right side
    427,539.26x = 138,027,086,945.38
  5. Step 5: Solve for x
    x = 138,027,086,945.38/427,539.26
  6. Step 6: Final answer
    x = 322,840.73

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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.