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Finding the Fourth Proportional to 306,019.20, 422,298.02 and 170,049.62

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Solution

The fourth proportional to 306,019.20, 422,298.02 and 170,049.62 is: 234,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,019.20 : 422,298.02 = 170,049.62 : x
  2. Step 2: Convert to fraction form
    306,019.20/422,298.02 = 170,049.62/x
  3. Step 3: Cross multiply
    306,019.20x = 422,298.02 × 170,049.62
  4. Step 4: Simplify right side
    306,019.20x = 71,811,617,827.75
  5. Step 5: Solve for x
    x = 71,811,617,827.75/306,019.20
  6. Step 6: Final answer
    x = 234,663.77

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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.