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Finding the Fourth Proportional to 300,460.13, 414,635.00 and 166,324.13

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Solution

The fourth proportional to 300,460.13, 414,635.00 and 166,324.13 is: 229,527.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,460.13 : 414,635.00 = 166,324.13 : x
  2. Step 2: Convert to fraction form
    300,460.13/414,635.00 = 166,324.13/x
  3. Step 3: Cross multiply
    300,460.13x = 414,635.00 × 166,324.13
  4. Step 4: Simplify right side
    300,460.13x = 68,963,802,737.75
  5. Step 5: Solve for x
    x = 68,963,802,737.75/300,460.13
  6. Step 6: Final answer
    x = 229,527.30

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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.