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Finding the Fourth Proportional to 300,635.96, 414,877.79 and 164,672.18

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Solution

The fourth proportional to 300,635.96, 414,877.79 and 164,672.18 is: 227,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,635.96 : 414,877.79 = 164,672.18 : x
  2. Step 2: Convert to fraction form
    300,635.96/414,877.79 = 164,672.18/x
  3. Step 3: Cross multiply
    300,635.96x = 414,877.79 × 164,672.18
  4. Step 4: Simplify right side
    300,635.96x = 68,318,831,561.76
  5. Step 5: Solve for x
    x = 68,318,831,561.76/300,635.96
  6. Step 6: Final answer
    x = 227,247.71

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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.