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Finding the Fourth Proportional to 384,400.94, 530,474.24 and 214,641.14

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Solution

The fourth proportional to 384,400.94, 530,474.24 and 214,641.14 is: 296,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,400.94 : 530,474.24 = 214,641.14 : x
  2. Step 2: Convert to fraction form
    384,400.94/530,474.24 = 214,641.14/x
  3. Step 3: Cross multiply
    384,400.94x = 530,474.24 × 214,641.14
  4. Step 4: Simplify right side
    384,400.94x = 113,861,594,541.03
  5. Step 5: Solve for x
    x = 113,861,594,541.03/384,400.94
  6. Step 6: Final answer
    x = 296,205.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.