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Finding the Fourth Proportional to 580,224.52, 800,767.38 and 389,634.76

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Solution

The fourth proportional to 580,224.52, 800,767.38 and 389,634.76 is: 537,734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,224.52 : 800,767.38 = 389,634.76 : x
  2. Step 2: Convert to fraction form
    580,224.52/800,767.38 = 389,634.76/x
  3. Step 3: Cross multiply
    580,224.52x = 800,767.38 × 389,634.76
  4. Step 4: Simplify right side
    580,224.52x = 312,006,805,922.13
  5. Step 5: Solve for x
    x = 312,006,805,922.13/580,224.52
  6. Step 6: Final answer
    x = 537,734.61

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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.