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Finding the Fourth Proportional to 384,464.48, 530,562.12 and 214,705.04

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Solution

The fourth proportional to 384,464.48, 530,562.12 and 214,705.04 is: 296,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,464.48 : 530,562.12 = 214,705.04 : x
  2. Step 2: Convert to fraction form
    384,464.48/530,562.12 = 214,705.04/x
  3. Step 3: Cross multiply
    384,464.48x = 530,562.12 × 214,705.04
  4. Step 4: Simplify right side
    384,464.48x = 113,914,361,197.09
  5. Step 5: Solve for x
    x = 113,914,361,197.09/384,464.48
  6. Step 6: Final answer
    x = 296,293.59

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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.