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Finding the Fourth Proportional to 300,637.91, 414,880.23 and 164,680.32

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Solution

The fourth proportional to 300,637.91, 414,880.23 and 164,680.32 is: 227,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,637.91 : 414,880.23 = 164,680.32 : x
  2. Step 2: Convert to fraction form
    300,637.91/414,880.23 = 164,680.32/x
  3. Step 3: Cross multiply
    300,637.91x = 414,880.23 × 164,680.32
  4. Step 4: Simplify right side
    300,637.91x = 68,322,610,285.10
  5. Step 5: Solve for x
    x = 68,322,610,285.10/300,637.91
  6. Step 6: Final answer
    x = 227,258.80

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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.