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Finding the Fourth Proportional to 580,032.84, 800,441.82 and 338,296.44

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Solution

The fourth proportional to 580,032.84, 800,441.82 and 338,296.44 is: 466,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,032.84 : 800,441.82 = 338,296.44 : x
  2. Step 2: Convert to fraction form
    580,032.84/800,441.82 = 338,296.44/x
  3. Step 3: Cross multiply
    580,032.84x = 800,441.82 × 338,296.44
  4. Step 4: Simplify right side
    580,032.84x = 270,786,618,133.12
  5. Step 5: Solve for x
    x = 270,786,618,133.12/580,032.84
  6. Step 6: Final answer
    x = 466,847.05

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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.