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Finding the Fourth Proportional to 421,833.84, 582,130.32 and 230,847.12

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Solution

The fourth proportional to 421,833.84, 582,130.32 and 230,847.12 is: 318,568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,833.84 : 582,130.32 = 230,847.12 : x
  2. Step 2: Convert to fraction form
    421,833.84/582,130.32 = 230,847.12/x
  3. Step 3: Cross multiply
    421,833.84x = 582,130.32 × 230,847.12
  4. Step 4: Simplify right side
    421,833.84x = 134,383,107,836.68
  5. Step 5: Solve for x
    x = 134,383,107,836.68/421,833.84
  6. Step 6: Final answer
    x = 318,568.82

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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.