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Finding the Fourth Proportional to 306,057.30, 458,049.15 and 306,057.30

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Solution

The fourth proportional to 306,057.30, 458,049.15 and 306,057.30 is: 458,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,057.30 : 458,049.15 = 306,057.30 : x
  2. Step 2: Convert to fraction form
    306,057.30/458,049.15 = 306,057.30/x
  3. Step 3: Cross multiply
    306,057.30x = 458,049.15 × 306,057.30
  4. Step 4: Simplify right side
    306,057.30x = 140,189,286,116.30
  5. Step 5: Solve for x
    x = 140,189,286,116.30/306,057.30
  6. Step 6: Final answer
    x = 458,049.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.