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Finding the Fourth Proportional to 424,845.56, 586,286.76 and 233,858

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Solution

The fourth proportional to 424,845.56, 586,286.76 and 233,858 is: 322,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,845.56 : 586,286.76 = 233,858 : x
  2. Step 2: Convert to fraction form
    424,845.56/586,286.76 = 233,858/x
  3. Step 3: Cross multiply
    424,845.56x = 586,286.76 × 233,858
  4. Step 4: Simplify right side
    424,845.56x = 137,107,849,120.08
  5. Step 5: Solve for x
    x = 137,107,849,120.08/424,845.56
  6. Step 6: Final answer
    x = 322,723.98

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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.