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Finding the Fourth Proportional to 407,861.44, 563,053.44 and 254,984.56

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Solution

The fourth proportional to 407,861.44, 563,053.44 and 254,984.56 is: 352,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,861.44 : 563,053.44 = 254,984.56 : x
  2. Step 2: Convert to fraction form
    407,861.44/563,053.44 = 254,984.56/x
  3. Step 3: Cross multiply
    407,861.44x = 563,053.44 × 254,984.56
  4. Step 4: Simplify right side
    407,861.44x = 143,569,933,654.89
  5. Step 5: Solve for x
    x = 143,569,933,654.89/407,861.44
  6. Step 6: Final answer
    x = 352,006.64

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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.