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Finding the Fourth Proportional to 427,199.58, 589,538.43 and 233,608.14

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Solution

The fourth proportional to 427,199.58, 589,538.43 and 233,608.14 is: 322,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,199.58 : 589,538.43 = 233,608.14 : x
  2. Step 2: Convert to fraction form
    427,199.58/589,538.43 = 233,608.14/x
  3. Step 3: Cross multiply
    427,199.58x = 589,538.43 × 233,608.14
  4. Step 4: Simplify right side
    427,199.58x = 137,720,976,090.82
  5. Step 5: Solve for x
    x = 137,720,976,090.82/427,199.58
  6. Step 6: Final answer
    x = 322,380.88

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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.