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Finding the Fourth Proportional to 424,181.64, 585,381.84 and 233,199.84

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Solution

The fourth proportional to 424,181.64, 585,381.84 and 233,199.84 is: 321,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,181.64 : 585,381.84 = 233,199.84 : x
  2. Step 2: Convert to fraction form
    424,181.64/585,381.84 = 233,199.84/x
  3. Step 3: Cross multiply
    424,181.64x = 585,381.84 × 233,199.84
  4. Step 4: Simplify right side
    424,181.64x = 136,510,951,426.91
  5. Step 5: Solve for x
    x = 136,510,951,426.91/424,181.64
  6. Step 6: Final answer
    x = 321,821.92

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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.