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Finding the Fourth Proportional to 300,551.96, 414,761.84 and 164,594.38

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Solution

The fourth proportional to 300,551.96, 414,761.84 and 164,594.38 is: 227,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,551.96 : 414,761.84 = 164,594.38 : x
  2. Step 2: Convert to fraction form
    300,551.96/414,761.84 = 164,594.38/x
  3. Step 3: Cross multiply
    300,551.96x = 414,761.84 × 164,594.38
  4. Step 4: Simplify right side
    300,551.96x = 68,267,467,902.46
  5. Step 5: Solve for x
    x = 68,267,467,902.46/300,551.96
  6. Step 6: Final answer
    x = 227,140.32

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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.