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Finding the Fourth Proportional to 300,296.64, 414,403.52 and 166,160.64

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Solution

The fourth proportional to 300,296.64, 414,403.52 and 166,160.64 is: 229,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,296.64 : 414,403.52 = 166,160.64 : x
  2. Step 2: Convert to fraction form
    300,296.64/414,403.52 = 166,160.64/x
  3. Step 3: Cross multiply
    300,296.64x = 414,403.52 × 166,160.64
  4. Step 4: Simplify right side
    300,296.64x = 68,857,554,101.45
  5. Step 5: Solve for x
    x = 68,857,554,101.45/300,296.64
  6. Step 6: Final answer
    x = 229,298.45

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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.