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Finding the Fourth Proportional to 314,460.96, 434,244.44 and 199,776.48

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Solution

The fourth proportional to 314,460.96, 434,244.44 and 199,776.48 is: 275,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,460.96 : 434,244.44 = 199,776.48 : x
  2. Step 2: Convert to fraction form
    314,460.96/434,244.44 = 199,776.48/x
  3. Step 3: Cross multiply
    314,460.96x = 434,244.44 × 199,776.48
  4. Step 4: Simplify right side
    314,460.96x = 86,751,825,682.77
  5. Step 5: Solve for x
    x = 86,751,825,682.77/314,460.96
  6. Step 6: Final answer
    x = 275,874.71

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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.