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Finding the Fourth Proportional to 300,463.28, 414,639.46 and 164,506.04

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Solution

The fourth proportional to 300,463.28, 414,639.46 and 164,506.04 is: 227,018.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,463.28 : 414,639.46 = 164,506.04 : x
  2. Step 2: Convert to fraction form
    300,463.28/414,639.46 = 164,506.04/x
  3. Step 3: Cross multiply
    300,463.28x = 414,639.46 × 164,506.04
  4. Step 4: Simplify right side
    300,463.28x = 68,210,695,592.34
  5. Step 5: Solve for x
    x = 68,210,695,592.34/300,463.28
  6. Step 6: Final answer
    x = 227,018.41

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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.