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Finding the Fourth Proportional to 295,220.52, 407,404.32 and 161,084.52

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Solution

The fourth proportional to 295,220.52, 407,404.32 and 161,084.52 is: 222,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,220.52 : 407,404.32 = 161,084.52 : x
  2. Step 2: Convert to fraction form
    295,220.52/407,404.32 = 161,084.52/x
  3. Step 3: Cross multiply
    295,220.52x = 407,404.32 × 161,084.52
  4. Step 4: Simplify right side
    295,220.52x = 65,626,529,333.13
  5. Step 5: Solve for x
    x = 65,626,529,333.13/295,220.52
  6. Step 6: Final answer
    x = 222,296.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.