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Finding the Fourth Proportional to 299,085.21, 412,726.19 and 164,949.21

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Solution

The fourth proportional to 299,085.21, 412,726.19 and 164,949.21 is: 227,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,085.21 : 412,726.19 = 164,949.21 : x
  2. Step 2: Convert to fraction form
    299,085.21/412,726.19 = 164,949.21/x
  3. Step 3: Cross multiply
    299,085.21x = 412,726.19 × 164,949.21
  4. Step 4: Simplify right side
    299,085.21x = 68,078,858,162.06
  5. Step 5: Solve for x
    x = 68,078,858,162.06/299,085.21
  6. Step 6: Final answer
    x = 227,623.62

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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.