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Finding the Fourth Proportional to 384,761.23, 530,969.38 and 214,995.49

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Solution

The fourth proportional to 384,761.23, 530,969.38 and 214,995.49 is: 296,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,761.23 : 530,969.38 = 214,995.49 : x
  2. Step 2: Convert to fraction form
    384,761.23/530,969.38 = 214,995.49/x
  3. Step 3: Cross multiply
    384,761.23x = 530,969.38 × 214,995.49
  4. Step 4: Simplify right side
    384,761.23x = 114,156,022,028.10
  5. Step 5: Solve for x
    x = 114,156,022,028.10/384,761.23
  6. Step 6: Final answer
    x = 296,693.15

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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.