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Finding the Fourth Proportional to 403,313.94, 604,640.43 and 166,826.34

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Solution

The fourth proportional to 403,313.94, 604,640.43 and 166,826.34 is: 250,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,313.94 : 604,640.43 = 166,826.34 : x
  2. Step 2: Convert to fraction form
    403,313.94/604,640.43 = 166,826.34/x
  3. Step 3: Cross multiply
    403,313.94x = 604,640.43 × 166,826.34
  4. Step 4: Simplify right side
    403,313.94x = 100,869,949,952.93
  5. Step 5: Solve for x
    x = 100,869,949,952.93/403,313.94
  6. Step 6: Final answer
    x = 250,102.81

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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.