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Finding the Fourth Proportional to 301,964.58, 416,716.42 and 166,004.24

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Solution

The fourth proportional to 301,964.58, 416,716.42 and 166,004.24 is: 229,088.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,964.58 : 416,716.42 = 166,004.24 : x
  2. Step 2: Convert to fraction form
    301,964.58/416,716.42 = 166,004.24/x
  3. Step 3: Cross multiply
    301,964.58x = 416,716.42 × 166,004.24
  4. Step 4: Simplify right side
    301,964.58x = 69,176,692,597.62
  5. Step 5: Solve for x
    x = 69,176,692,597.62/301,964.58
  6. Step 6: Final answer
    x = 229,088.76

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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.