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Finding the Fourth Proportional to 514,533.82, 771,661.31 and 214,951.73

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Solution

The fourth proportional to 514,533.82, 771,661.31 and 214,951.73 is: 322,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,533.82 : 771,661.31 = 214,951.73 : x
  2. Step 2: Convert to fraction form
    514,533.82/771,661.31 = 214,951.73/x
  3. Step 3: Cross multiply
    514,533.82x = 771,661.31 × 214,951.73
  4. Step 4: Simplify right side
    514,533.82x = 165,869,929,230.05
  5. Step 5: Solve for x
    x = 165,869,929,230.05/514,533.82
  6. Step 6: Final answer
    x = 322,369.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.