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Finding the Fourth Proportional to 295,600.75, 407,929.08 and 161,464.75

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Solution

The fourth proportional to 295,600.75, 407,929.08 and 161,464.75 is: 222,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,600.75 : 407,929.08 = 161,464.75 : x
  2. Step 2: Convert to fraction form
    295,600.75/407,929.08 = 161,464.75/x
  3. Step 3: Cross multiply
    295,600.75x = 407,929.08 × 161,464.75
  4. Step 4: Simplify right side
    295,600.75x = 65,866,166,919.93
  5. Step 5: Solve for x
    x = 65,866,166,919.93/295,600.75
  6. Step 6: Final answer
    x = 222,821.38

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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.