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Finding the Fourth Proportional to 300,533.25, 414,748.85 and 166,397.25

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Solution

The fourth proportional to 300,533.25, 414,748.85 and 166,397.25 is: 229,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,533.25 : 414,748.85 = 166,397.25 : x
  2. Step 2: Convert to fraction form
    300,533.25/414,748.85 = 166,397.25/x
  3. Step 3: Cross multiply
    300,533.25x = 414,748.85 × 166,397.25
  4. Step 4: Simplify right side
    300,533.25x = 69,013,067,248.68
  5. Step 5: Solve for x
    x = 69,013,067,248.68/300,533.25
  6. Step 6: Final answer
    x = 229,635.38

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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.