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Finding the Fourth Proportional to 295,596, 407,932.56 and 161,468.64

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Solution

The fourth proportional to 295,596, 407,932.56 and 161,468.64 is: 222,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,596 : 407,932.56 = 161,468.64 : x
  2. Step 2: Convert to fraction form
    295,596/407,932.56 = 161,468.64/x
  3. Step 3: Cross multiply
    295,596x = 407,932.56 × 161,468.64
  4. Step 4: Simplify right side
    295,596x = 65,868,315,674.92
  5. Step 5: Solve for x
    x = 65,868,315,674.92/295,596
  6. Step 6: Final answer
    x = 222,832.23

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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.