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Finding the Fourth Proportional to 295,597, 407,933.94 and 161,469.64

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Solution

The fourth proportional to 295,597, 407,933.94 and 161,469.64 is: 222,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,597 : 407,933.94 = 161,469.64 : x
  2. Step 2: Convert to fraction form
    295,597/407,933.94 = 161,469.64/x
  3. Step 3: Cross multiply
    295,597x = 407,933.94 × 161,469.64
  4. Step 4: Simplify right side
    295,597x = 65,868,946,435.58
  5. Step 5: Solve for x
    x = 65,868,946,435.58/295,597
  6. Step 6: Final answer
    x = 222,833.61

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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.