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Finding the Fourth Proportional to 389,396.96, 537,611.08 and 298,578.47

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Solution

The fourth proportional to 389,396.96, 537,611.08 and 298,578.47 is: 412,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,396.96 : 537,611.08 = 298,578.47 : x
  2. Step 2: Convert to fraction form
    389,396.96/537,611.08 = 298,578.47/x
  3. Step 3: Cross multiply
    389,396.96x = 537,611.08 × 298,578.47
  4. Step 4: Simplify right side
    389,396.96x = 160,519,090,286.95
  5. Step 5: Solve for x
    x = 160,519,090,286.95/389,396.96
  6. Step 6: Final answer
    x = 412,224.82

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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.