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Finding the Fourth Proportional to 409,056.20, 613,584.30 and 304,080.20

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Solution

The fourth proportional to 409,056.20, 613,584.30 and 304,080.20 is: 456,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,056.20 : 613,584.30 = 304,080.20 : x
  2. Step 2: Convert to fraction form
    409,056.20/613,584.30 = 304,080.20/x
  3. Step 3: Cross multiply
    409,056.20x = 613,584.30 × 304,080.20
  4. Step 4: Simplify right side
    409,056.20x = 186,578,836,660.86
  5. Step 5: Solve for x
    x = 186,578,836,660.86/409,056.20
  6. Step 6: Final answer
    x = 456,120.30

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