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Finding the Fourth Proportional to 306,026.81, 422,290.11 and 170,052.14

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Solution

The fourth proportional to 306,026.81, 422,290.11 and 170,052.14 is: 234,657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,026.81 : 422,290.11 = 170,052.14 : x
  2. Step 2: Convert to fraction form
    306,026.81/422,290.11 = 170,052.14/x
  3. Step 3: Cross multiply
    306,026.81x = 422,290.11 × 170,052.14
  4. Step 4: Simplify right side
    306,026.81x = 71,811,336,906.34
  5. Step 5: Solve for x
    x = 71,811,336,906.34/306,026.81
  6. Step 6: Final answer
    x = 234,657.01

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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.