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Finding the Fourth Proportional to 384,142.12, 530,116.59 and 214,376.38

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Solution

The fourth proportional to 384,142.12, 530,116.59 and 214,376.38 is: 295,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,142.12 : 530,116.59 = 214,376.38 : x
  2. Step 2: Convert to fraction form
    384,142.12/530,116.59 = 214,376.38/x
  3. Step 3: Cross multiply
    384,142.12x = 530,116.59 × 214,376.38
  4. Step 4: Simplify right side
    384,142.12x = 113,644,475,542.14
  5. Step 5: Solve for x
    x = 113,644,475,542.14/384,142.12
  6. Step 6: Final answer
    x = 295,839.66

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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.