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Finding the Fourth Proportional to 300,463.86, 414,645.03 and 164,495.53

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Solution

The fourth proportional to 300,463.86, 414,645.03 and 164,495.53 is: 227,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,463.86 : 414,645.03 = 164,495.53 : x
  2. Step 2: Convert to fraction form
    300,463.86/414,645.03 = 164,495.53/x
  3. Step 3: Cross multiply
    300,463.86x = 414,645.03 × 164,495.53
  4. Step 4: Simplify right side
    300,463.86x = 68,207,251,076.01
  5. Step 5: Solve for x
    x = 68,207,251,076.01/300,463.86
  6. Step 6: Final answer
    x = 227,006.51

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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.