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Finding the Fourth Proportional to 384,230.56, 530,246.16 and 214,471.84

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Solution

The fourth proportional to 384,230.56, 530,246.16 and 214,471.84 is: 295,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,230.56 : 530,246.16 = 214,471.84 : x
  2. Step 2: Convert to fraction form
    384,230.56/530,246.16 = 214,471.84/x
  3. Step 3: Cross multiply
    384,230.56x = 530,246.16 × 214,471.84
  4. Step 4: Simplify right side
    384,230.56x = 113,722,869,588.13
  5. Step 5: Solve for x
    x = 113,722,869,588.13/384,230.56
  6. Step 6: Final answer
    x = 295,975.60

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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.