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Finding the Fourth Proportional to 514,534.82, 771,662.81 and 214,952.73

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Solution

The fourth proportional to 514,534.82, 771,662.81 and 214,952.73 is: 322,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,534.82 : 771,662.81 = 214,952.73 : x
  2. Step 2: Convert to fraction form
    514,534.82/771,662.81 = 214,952.73/x
  3. Step 3: Cross multiply
    514,534.82x = 771,662.81 × 214,952.73
  4. Step 4: Simplify right side
    514,534.82x = 165,871,027,648.97
  5. Step 5: Solve for x
    x = 165,871,027,648.97/514,534.82
  6. Step 6: Final answer
    x = 322,370.85

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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.