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Finding the Fourth Proportional to 304,057.40, 456,086.10 and 204,524.60

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Solution

The fourth proportional to 304,057.40, 456,086.10 and 204,524.60 is: 306,786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,057.40 : 456,086.10 = 204,524.60 : x
  2. Step 2: Convert to fraction form
    304,057.40/456,086.10 = 204,524.60/x
  3. Step 3: Cross multiply
    304,057.40x = 456,086.10 × 204,524.60
  4. Step 4: Simplify right side
    304,057.40x = 93,280,827,168.06
  5. Step 5: Solve for x
    x = 93,280,827,168.06/304,057.40
  6. Step 6: Final answer
    x = 306,786.90

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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.