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Finding the Fourth Proportional to 471,703.88, 650,942.92 and 256,840.04

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Solution

The fourth proportional to 471,703.88, 650,942.92 and 256,840.04 is: 354,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,703.88 : 650,942.92 = 256,840.04 : x
  2. Step 2: Convert to fraction form
    471,703.88/650,942.92 = 256,840.04/x
  3. Step 3: Cross multiply
    471,703.88x = 650,942.92 × 256,840.04
  4. Step 4: Simplify right side
    471,703.88x = 167,188,205,610.52
  5. Step 5: Solve for x
    x = 167,188,205,610.52/471,703.88
  6. Step 6: Final answer
    x = 354,434.66

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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.