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Finding the Fourth Proportional to 299,085.46, 412,726.53 and 164,949.46

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Solution

The fourth proportional to 299,085.46, 412,726.53 and 164,949.46 is: 227,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,085.46 : 412,726.53 = 164,949.46 : x
  2. Step 2: Convert to fraction form
    299,085.46/412,726.53 = 164,949.46/x
  3. Step 3: Cross multiply
    299,085.46x = 412,726.53 × 164,949.46
  4. Step 4: Simplify right side
    299,085.46x = 68,079,018,251.17
  5. Step 5: Solve for x
    x = 68,079,018,251.17/299,085.46
  6. Step 6: Final answer
    x = 227,623.96

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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.