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Finding the Fourth Proportional to 294,535.70, 406,461.21 and 167,213.42

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Solution

The fourth proportional to 294,535.70, 406,461.21 and 167,213.42 is: 230,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,535.70 : 406,461.21 = 167,213.42 : x
  2. Step 2: Convert to fraction form
    294,535.70/406,461.21 = 167,213.42/x
  3. Step 3: Cross multiply
    294,535.70x = 406,461.21 × 167,213.42
  4. Step 4: Simplify right side
    294,535.70x = 67,965,769,021.44
  5. Step 5: Solve for x
    x = 67,965,769,021.44/294,535.70
  6. Step 6: Final answer
    x = 230,755.62

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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.