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Finding the Fourth Proportional to 384,217.13, 530,225.10 and 214,451.25

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Solution

The fourth proportional to 384,217.13, 530,225.10 and 214,451.25 is: 295,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,217.13 : 530,225.10 = 214,451.25 : x
  2. Step 2: Convert to fraction form
    384,217.13/530,225.10 = 214,451.25/x
  3. Step 3: Cross multiply
    384,217.13x = 530,225.10 × 214,451.25
  4. Step 4: Simplify right side
    384,217.13x = 113,707,435,476.38
  5. Step 5: Solve for x
    x = 113,707,435,476.38/384,217.13
  6. Step 6: Final answer
    x = 295,945.78

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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.