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Finding the Fourth Proportional to 334,015.20, 501,022.80 and 300,772.80

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Solution

The fourth proportional to 334,015.20, 501,022.80 and 300,772.80 is: 451,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,015.20 : 501,022.80 = 300,772.80 : x
  2. Step 2: Convert to fraction form
    334,015.20/501,022.80 = 300,772.80/x
  3. Step 3: Cross multiply
    334,015.20x = 501,022.80 × 300,772.80
  4. Step 4: Simplify right side
    334,015.20x = 150,694,030,419.84
  5. Step 5: Solve for x
    x = 150,694,030,419.84/334,015.20
  6. Step 6: Final answer
    x = 451,159.20

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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.