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Finding the Fourth Proportional to 300,663.89, 414,898.44 and 164,670.75

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Solution

The fourth proportional to 300,663.89, 414,898.44 and 164,670.75 is: 227,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,663.89 : 414,898.44 = 164,670.75 : x
  2. Step 2: Convert to fraction form
    300,663.89/414,898.44 = 164,670.75/x
  3. Step 3: Cross multiply
    300,663.89x = 414,898.44 × 164,670.75
  4. Step 4: Simplify right side
    300,663.89x = 68,321,637,288.63
  5. Step 5: Solve for x
    x = 68,321,637,288.63/300,663.89
  6. Step 6: Final answer
    x = 227,235.93

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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.