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Finding the Fourth Proportional to 409,092.32, 564,064.34 and 280,093.34

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Solution

The fourth proportional to 409,092.32, 564,064.34 and 280,093.34 is: 386,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,092.32 : 564,064.34 = 280,093.34 : x
  2. Step 2: Convert to fraction form
    409,092.32/564,064.34 = 280,093.34/x
  3. Step 3: Cross multiply
    409,092.32x = 564,064.34 × 280,093.34
  4. Step 4: Simplify right side
    409,092.32x = 157,990,664,965.50
  5. Step 5: Solve for x
    x = 157,990,664,965.50/409,092.32
  6. Step 6: Final answer
    x = 386,198.07

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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.