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Finding the Fourth Proportional to 295,296.82, 407,509.62 and 161,160.82

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Solution

The fourth proportional to 295,296.82, 407,509.62 and 161,160.82 is: 222,401.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,296.82 : 407,509.62 = 161,160.82 : x
  2. Step 2: Convert to fraction form
    295,296.82/407,509.62 = 161,160.82/x
  3. Step 3: Cross multiply
    295,296.82x = 407,509.62 × 161,160.82
  4. Step 4: Simplify right side
    295,296.82x = 65,674,584,517.09
  5. Step 5: Solve for x
    x = 65,674,584,517.09/295,296.82
  6. Step 6: Final answer
    x = 222,401.94

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1.5x scale

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.