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Finding the Fourth Proportional to 295,599, 407,936.70 and 161,471.64

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Solution

The fourth proportional to 295,599, 407,936.70 and 161,471.64 is: 222,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,599 : 407,936.70 = 161,471.64 : x
  2. Step 2: Convert to fraction form
    295,599/407,936.70 = 161,471.64/x
  3. Step 3: Cross multiply
    295,599x = 407,936.70 × 161,471.64
  4. Step 4: Simplify right side
    295,599x = 65,870,207,965.19
  5. Step 5: Solve for x
    x = 65,870,207,965.19/295,599
  6. Step 6: Final answer
    x = 222,836.37

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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.