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Finding the Fourth Proportional to 298,584.41, 412,083.58 and 169,564.33

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Solution

The fourth proportional to 298,584.41, 412,083.58 and 169,564.33 is: 234,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,584.41 : 412,083.58 = 169,564.33 : x
  2. Step 2: Convert to fraction form
    298,584.41/412,083.58 = 169,564.33/x
  3. Step 3: Cross multiply
    298,584.41x = 412,083.58 × 169,564.33
  4. Step 4: Simplify right side
    298,584.41x = 69,874,675,116.49
  5. Step 5: Solve for x
    x = 69,874,675,116.49/298,584.41
  6. Step 6: Final answer
    x = 234,019.84

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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.