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Finding the Fourth Proportional to 300,838.32, 415,162.08 and 164,863.20

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Solution

The fourth proportional to 300,838.32, 415,162.08 and 164,863.20 is: 227,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,838.32 : 415,162.08 = 164,863.20 : x
  2. Step 2: Convert to fraction form
    300,838.32/415,162.08 = 164,863.20/x
  3. Step 3: Cross multiply
    300,838.32x = 415,162.08 × 164,863.20
  4. Step 4: Simplify right side
    300,838.32x = 68,444,949,027.46
  5. Step 5: Solve for x
    x = 68,444,949,027.46/300,838.32
  6. Step 6: Final answer
    x = 227,514.06

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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.