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Finding the Fourth Proportional to 384,121.98, 530,039.43 and 214,363.26

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Solution

The fourth proportional to 384,121.98, 530,039.43 and 214,363.26 is: 295,794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,121.98 : 530,039.43 = 214,363.26 : x
  2. Step 2: Convert to fraction form
    384,121.98/530,039.43 = 214,363.26/x
  3. Step 3: Cross multiply
    384,121.98x = 530,039.43 × 214,363.26
  4. Step 4: Simplify right side
    384,121.98x = 113,620,980,143.34
  5. Step 5: Solve for x
    x = 113,620,980,143.34/384,121.98
  6. Step 6: Final answer
    x = 295,794.01

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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.