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Finding the Fourth Proportional to 384,141.12, 530,115.21 and 214,375.38

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Solution

The fourth proportional to 384,141.12, 530,115.21 and 214,375.38 is: 295,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,141.12 : 530,115.21 = 214,375.38 : x
  2. Step 2: Convert to fraction form
    384,141.12/530,115.21 = 214,375.38/x
  3. Step 3: Cross multiply
    384,141.12x = 530,115.21 × 214,375.38
  4. Step 4: Simplify right side
    384,141.12x = 113,643,649,587.53
  5. Step 5: Solve for x
    x = 113,643,649,587.53/384,141.12
  6. Step 6: Final answer
    x = 295,838.28

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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.