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Finding the Fourth Proportional to 300,322.74, 414,439.84 and 164,353.96

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Solution

The fourth proportional to 300,322.74, 414,439.84 and 164,353.96 is: 226,805.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,322.74 : 414,439.84 = 164,353.96 : x
  2. Step 2: Convert to fraction form
    300,322.74/414,439.84 = 164,353.96/x
  3. Step 3: Cross multiply
    300,322.74x = 414,439.84 × 164,353.96
  4. Step 4: Simplify right side
    300,322.74x = 68,114,828,885.77
  5. Step 5: Solve for x
    x = 68,114,828,885.77/300,322.74
  6. Step 6: Final answer
    x = 226,805.43

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1.5x scale

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.