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Finding the Fourth Proportional to 384,757.48, 530,964.21 and 214,991.74

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Solution

The fourth proportional to 384,757.48, 530,964.21 and 214,991.74 is: 296,687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,757.48 : 530,964.21 = 214,991.74 : x
  2. Step 2: Convert to fraction form
    384,757.48/530,964.21 = 214,991.74/x
  3. Step 3: Cross multiply
    384,757.48x = 530,964.21 × 214,991.74
  4. Step 4: Simplify right side
    384,757.48x = 114,152,919,385.63
  5. Step 5: Solve for x
    x = 114,152,919,385.63/384,757.48
  6. Step 6: Final answer
    x = 296,687.98

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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.