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Finding the Fourth Proportional to 304,057.60, 456,086.40 and 204,524.80

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Solution

The fourth proportional to 304,057.60, 456,086.40 and 204,524.80 is: 306,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,057.60 : 456,086.40 = 204,524.80 : x
  2. Step 2: Convert to fraction form
    304,057.60/456,086.40 = 204,524.80/x
  3. Step 3: Cross multiply
    304,057.60x = 456,086.40 × 204,524.80
  4. Step 4: Simplify right side
    304,057.60x = 93,280,979,742.72
  5. Step 5: Solve for x
    x = 93,280,979,742.72/304,057.60
  6. Step 6: Final answer
    x = 306,787.20

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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.