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Finding the Fourth Proportional to 295,336.63, 407,564.55 and 161,200.63

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Solution

The fourth proportional to 295,336.63, 407,564.55 and 161,200.63 is: 222,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,336.63 : 407,564.55 = 161,200.63 : x
  2. Step 2: Convert to fraction form
    295,336.63/407,564.55 = 161,200.63/x
  3. Step 3: Cross multiply
    295,336.63x = 407,564.55 × 161,200.63
  4. Step 4: Simplify right side
    295,336.63x = 65,699,659,381.84
  5. Step 5: Solve for x
    x = 65,699,659,381.84/295,336.63
  6. Step 6: Final answer
    x = 222,456.86

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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.