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Finding the Fourth Proportional to 384,470.44, 530,563.62 and 214,706.92

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Solution

The fourth proportional to 384,470.44, 530,563.62 and 214,706.92 is: 296,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,470.44 : 530,563.62 = 214,706.92 : x
  2. Step 2: Convert to fraction form
    384,470.44/530,563.62 = 214,706.92/x
  3. Step 3: Cross multiply
    384,470.44x = 530,563.62 × 214,706.92
  4. Step 4: Simplify right side
    384,470.44x = 113,915,680,714.25
  5. Step 5: Solve for x
    x = 113,915,680,714.25/384,470.44
  6. Step 6: Final answer
    x = 296,292.43

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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.