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Finding the Fourth Proportional to 384,750.11, 530,954.01 and 214,984.37

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Solution

The fourth proportional to 384,750.11, 530,954.01 and 214,984.37 is: 296,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,750.11 : 530,954.01 = 214,984.37 : x
  2. Step 2: Convert to fraction form
    384,750.11/530,954.01 = 214,984.37/x
  3. Step 3: Cross multiply
    384,750.11x = 530,954.01 × 214,984.37
  4. Step 4: Simplify right side
    384,750.11x = 114,146,810,684.05
  5. Step 5: Solve for x
    x = 114,146,810,684.05/384,750.11
  6. Step 6: Final answer
    x = 296,677.79

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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.