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Finding the Fourth Proportional to 382,099.80, 573,761.70 and 303,864.60

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Solution

The fourth proportional to 382,099.80, 573,761.70 and 303,864.60 is: 456,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,099.80 : 573,761.70 = 303,864.60 : x
  2. Step 2: Convert to fraction form
    382,099.80/573,761.70 = 303,864.60/x
  3. Step 3: Cross multiply
    382,099.80x = 573,761.70 × 303,864.60
  4. Step 4: Simplify right side
    382,099.80x = 174,345,869,465.82
  5. Step 5: Solve for x
    x = 174,345,869,465.82/382,099.80
  6. Step 6: Final answer
    x = 456,283.59

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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.