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Finding the Fourth Proportional to 384,040.01, 529,964.20 and 214,270.49

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Solution

The fourth proportional to 384,040.01, 529,964.20 and 214,270.49 is: 295,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,040.01 : 529,964.20 = 214,270.49 : x
  2. Step 2: Convert to fraction form
    384,040.01/529,964.20 = 214,270.49/x
  3. Step 3: Cross multiply
    384,040.01x = 529,964.20 × 214,270.49
  4. Step 4: Simplify right side
    384,040.01x = 113,555,690,409.21
  5. Step 5: Solve for x
    x = 113,555,690,409.21/384,040.01
  6. Step 6: Final answer
    x = 295,687.13

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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.