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Finding the Fourth Proportional to 293,591.64, 405,142.88 and 166,268.14

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Solution

The fourth proportional to 293,591.64, 405,142.88 and 166,268.14 is: 229,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,591.64 : 405,142.88 = 166,268.14 : x
  2. Step 2: Convert to fraction form
    293,591.64/405,142.88 = 166,268.14/x
  3. Step 3: Cross multiply
    293,591.64x = 405,142.88 × 166,268.14
  4. Step 4: Simplify right side
    293,591.64x = 67,362,353,091.84
  5. Step 5: Solve for x
    x = 67,362,353,091.84/293,591.64
  6. Step 6: Final answer
    x = 229,442.34

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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.