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Finding the Fourth Proportional to 384,044.13, 529,969.89 and 214,274.61

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Solution

The fourth proportional to 384,044.13, 529,969.89 and 214,274.61 is: 295,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,044.13 : 529,969.89 = 214,274.61 : x
  2. Step 2: Convert to fraction form
    384,044.13/529,969.89 = 214,274.61/x
  3. Step 3: Cross multiply
    384,044.13x = 529,969.89 × 214,274.61
  4. Step 4: Simplify right side
    384,044.13x = 113,559,091,491.49
  5. Step 5: Solve for x
    x = 113,559,091,491.49/384,044.13
  6. Step 6: Final answer
    x = 295,692.82

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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.