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Finding the Fourth Proportional to 300,793.96, 415,095.64 and 166,657.96

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Solution

The fourth proportional to 300,793.96, 415,095.64 and 166,657.96 is: 229,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,793.96 : 415,095.64 = 166,657.96 : x
  2. Step 2: Convert to fraction form
    300,793.96/415,095.64 = 166,657.96/x
  3. Step 3: Cross multiply
    300,793.96x = 415,095.64 × 166,657.96
  4. Step 4: Simplify right side
    300,793.96x = 69,178,992,567.29
  5. Step 5: Solve for x
    x = 69,178,992,567.29/300,793.96
  6. Step 6: Final answer
    x = 229,987.97

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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.