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Finding the Fourth Proportional to 300,690.56, 414,963.32 and 164,724.48

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Solution

The fourth proportional to 300,690.56, 414,963.32 and 164,724.48 is: 227,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,690.56 : 414,963.32 = 164,724.48 : x
  2. Step 2: Convert to fraction form
    300,690.56/414,963.32 = 164,724.48/x
  3. Step 3: Cross multiply
    300,690.56x = 414,963.32 × 164,724.48
  4. Step 4: Simplify right side
    300,690.56x = 68,354,616,282.45
  5. Step 5: Solve for x
    x = 68,354,616,282.45/300,690.56
  6. Step 6: Final answer
    x = 227,325.45

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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.