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Finding the Fourth Proportional to 300,564.88, 414,787.24 and 164,606.32

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Solution

The fourth proportional to 300,564.88, 414,787.24 and 164,606.32 is: 227,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,564.88 : 414,787.24 = 164,606.32 : x
  2. Step 2: Convert to fraction form
    300,564.88/414,787.24 = 164,606.32/x
  3. Step 3: Cross multiply
    300,564.88x = 414,787.24 × 164,606.32
  4. Step 4: Simplify right side
    300,564.88x = 68,276,601,159.36
  5. Step 5: Solve for x
    x = 68,276,601,159.36/300,564.88
  6. Step 6: Final answer
    x = 227,160.94

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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.