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Finding the Fourth Proportional to 300,772.56, 415,065.96 and 164,811.63

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Solution

The fourth proportional to 300,772.56, 415,065.96 and 164,811.63 is: 227,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,772.56 : 415,065.96 = 164,811.63 : x
  2. Step 2: Convert to fraction form
    300,772.56/415,065.96 = 164,811.63/x
  3. Step 3: Cross multiply
    300,772.56x = 415,065.96 × 164,811.63
  4. Step 4: Simplify right side
    300,772.56x = 68,407,697,425.11
  5. Step 5: Solve for x
    x = 68,407,697,425.11/300,772.56
  6. Step 6: Final answer
    x = 227,439.95

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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.