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Finding the Fourth Proportional to 300,200.64, 414,275.41 and 164,232.12

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Solution

The fourth proportional to 300,200.64, 414,275.41 and 164,232.12 is: 226,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,200.64 : 414,275.41 = 164,232.12 : x
  2. Step 2: Convert to fraction form
    300,200.64/414,275.41 = 164,232.12/x
  3. Step 3: Cross multiply
    300,200.64x = 414,275.41 × 164,232.12
  4. Step 4: Simplify right side
    300,200.64x = 68,037,328,848.17
  5. Step 5: Solve for x
    x = 68,037,328,848.17/300,200.64
  6. Step 6: Final answer
    x = 226,639.52

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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.