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Finding the Fourth Proportional to 384,192.96, 530,236.44 and 214,462.32

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Solution

The fourth proportional to 384,192.96, 530,236.44 and 214,462.32 is: 295,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,192.96 : 530,236.44 = 214,462.32 : x
  2. Step 2: Convert to fraction form
    384,192.96/530,236.44 = 214,462.32/x
  3. Step 3: Cross multiply
    384,192.96x = 530,236.44 × 214,462.32
  4. Step 4: Simplify right side
    384,192.96x = 113,715,737,070.94
  5. Step 5: Solve for x
    x = 113,715,737,070.94/384,192.96
  6. Step 6: Final answer
    x = 295,986.00

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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.