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Finding the Fourth Proportional to 368,902.62, 509,110.38 and 205,584.48

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Solution

The fourth proportional to 368,902.62, 509,110.38 and 205,584.48 is: 283,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,902.62 : 509,110.38 = 205,584.48 : x
  2. Step 2: Convert to fraction form
    368,902.62/509,110.38 = 205,584.48/x
  3. Step 3: Cross multiply
    368,902.62x = 509,110.38 × 205,584.48
  4. Step 4: Simplify right side
    368,902.62x = 104,665,192,734.90
  5. Step 5: Solve for x
    x = 104,665,192,734.90/368,902.62
  6. Step 6: Final answer
    x = 283,720.38

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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.