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Finding the Fourth Proportional to 471,773.30, 651,054.94 and 256,917.56

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Solution

The fourth proportional to 471,773.30, 651,054.94 and 256,917.56 is: 354,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,773.30 : 651,054.94 = 256,917.56 : x
  2. Step 2: Convert to fraction form
    471,773.30/651,054.94 = 256,917.56/x
  3. Step 3: Cross multiply
    471,773.30x = 651,054.94 × 256,917.56
  4. Step 4: Simplify right side
    471,773.30x = 167,267,446,610.75
  5. Step 5: Solve for x
    x = 167,267,446,610.75/471,773.30
  6. Step 6: Final answer
    x = 354,550.47

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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.