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Finding the Fourth Proportional to 304,815.44, 420,651.28 and 182,433.84

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Solution

The fourth proportional to 304,815.44, 420,651.28 and 182,433.84 is: 251,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,815.44 : 420,651.28 = 182,433.84 : x
  2. Step 2: Convert to fraction form
    304,815.44/420,651.28 = 182,433.84/x
  3. Step 3: Cross multiply
    304,815.44x = 420,651.28 × 182,433.84
  4. Step 4: Simplify right side
    304,815.44x = 76,741,028,311.32
  5. Step 5: Solve for x
    x = 76,741,028,311.32/304,815.44
  6. Step 6: Final answer
    x = 251,762.27

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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.