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Finding the Fourth Proportional to 304,194.72, 419,791.50 and 168,221.64

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Solution

The fourth proportional to 304,194.72, 419,791.50 and 168,221.64 is: 232,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,194.72 : 419,791.50 = 168,221.64 : x
  2. Step 2: Convert to fraction form
    304,194.72/419,791.50 = 168,221.64/x
  3. Step 3: Cross multiply
    304,194.72x = 419,791.50 × 168,221.64
  4. Step 4: Simplify right side
    304,194.72x = 70,618,014,588.06
  5. Step 5: Solve for x
    x = 70,618,014,588.06/304,194.72
  6. Step 6: Final answer
    x = 232,147.40

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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.