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Finding the Fourth Proportional to 295,431.24, 407,692.96 and 161,295.24

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Solution

The fourth proportional to 295,431.24, 407,692.96 and 161,295.24 is: 222,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,431.24 : 407,692.96 = 161,295.24 : x
  2. Step 2: Convert to fraction form
    295,431.24/407,692.96 = 161,295.24/x
  3. Step 3: Cross multiply
    295,431.24x = 407,692.96 × 161,295.24
  4. Step 4: Simplify right side
    295,431.24x = 65,758,933,829.51
  5. Step 5: Solve for x
    x = 65,758,933,829.51/295,431.24
  6. Step 6: Final answer
    x = 222,586.26

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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.