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Finding the Fourth Proportional to 300,525.68, 414,735.33 and 164,565.36

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Solution

The fourth proportional to 300,525.68, 414,735.33 and 164,565.36 is: 227,105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,525.68 : 414,735.33 = 164,565.36 : x
  2. Step 2: Convert to fraction form
    300,525.68/414,735.33 = 164,565.36/x
  3. Step 3: Cross multiply
    300,525.68x = 414,735.33 × 164,565.36
  4. Step 4: Simplify right side
    300,525.68x = 68,251,068,886.17
  5. Step 5: Solve for x
    x = 68,251,068,886.17/300,525.68
  6. Step 6: Final answer
    x = 227,105.62

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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.