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Finding the Fourth Proportional to 293,586.40, 405,005.26 and 254,769.75

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Solution

The fourth proportional to 293,586.40, 405,005.26 and 254,769.75 is: 351,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,586.40 : 405,005.26 = 254,769.75 : x
  2. Step 2: Convert to fraction form
    293,586.40/405,005.26 = 254,769.75/x
  3. Step 3: Cross multiply
    293,586.40x = 405,005.26 × 254,769.75
  4. Step 4: Simplify right side
    293,586.40x = 103,183,087,917.82
  5. Step 5: Solve for x
    x = 103,183,087,917.82/293,586.40
  6. Step 6: Final answer
    x = 351,457.31

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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.