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Finding the Fourth Proportional to 296,369.28, 409,026.24 and 220,786.56

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Solution

The fourth proportional to 296,369.28, 409,026.24 and 220,786.56 is: 304,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,369.28 : 409,026.24 = 220,786.56 : x
  2. Step 2: Convert to fraction form
    296,369.28/409,026.24 = 220,786.56/x
  3. Step 3: Cross multiply
    296,369.28x = 409,026.24 × 220,786.56
  4. Step 4: Simplify right side
    296,369.28x = 90,307,496,479.33
  5. Step 5: Solve for x
    x = 90,307,496,479.33/296,369.28
  6. Step 6: Final answer
    x = 304,712.74

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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.