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Finding the Fourth Proportional to 300,530.25, 414,744.71 and 166,394.25

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Solution

The fourth proportional to 300,530.25, 414,744.71 and 166,394.25 is: 229,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,530.25 : 414,744.71 = 166,394.25 : x
  2. Step 2: Convert to fraction form
    300,530.25/414,744.71 = 166,394.25/x
  3. Step 3: Cross multiply
    300,530.25x = 414,744.71 × 166,394.25
  4. Step 4: Simplify right side
    300,530.25x = 69,011,134,129.95
  5. Step 5: Solve for x
    x = 69,011,134,129.95/300,530.25
  6. Step 6: Final answer
    x = 229,631.24

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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.