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Finding the Fourth Proportional to 293,682.78, 405,477.24 and 225,577.98

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Solution

The fourth proportional to 293,682.78, 405,477.24 and 225,577.98 is: 311,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,682.78 : 405,477.24 = 225,577.98 : x
  2. Step 2: Convert to fraction form
    293,682.78/405,477.24 = 225,577.98/x
  3. Step 3: Cross multiply
    293,682.78x = 405,477.24 × 225,577.98
  4. Step 4: Simplify right side
    293,682.78x = 91,466,736,735.18
  5. Step 5: Solve for x
    x = 91,466,736,735.18/293,682.78
  6. Step 6: Final answer
    x = 311,447.39

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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.