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Finding the Fourth Proportional to 564,301.82, 846,449.78 and 199,833.80

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Solution

The fourth proportional to 564,301.82, 846,449.78 and 199,833.80 is: 299,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,301.82 : 846,449.78 = 199,833.80 : x
  2. Step 2: Convert to fraction form
    564,301.82/846,449.78 = 199,833.80/x
  3. Step 3: Cross multiply
    564,301.82x = 846,449.78 × 199,833.80
  4. Step 4: Simplify right side
    564,301.82x = 169,149,276,046.56
  5. Step 5: Solve for x
    x = 169,149,276,046.56/564,301.82
  6. Step 6: Final answer
    x = 299,749.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.