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Finding the Fourth Proportional to 300,252, 414,353.03 and 164,297.86

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Solution

The fourth proportional to 300,252, 414,353.03 and 164,297.86 is: 226,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,252 : 414,353.03 = 164,297.86 : x
  2. Step 2: Convert to fraction form
    300,252/414,353.03 = 164,297.86/x
  3. Step 3: Cross multiply
    300,252x = 414,353.03 × 164,297.86
  4. Step 4: Simplify right side
    300,252x = 68,077,314,256.14
  5. Step 5: Solve for x
    x = 68,077,314,256.14/300,252
  6. Step 6: Final answer
    x = 226,733.92

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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.