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Finding the Fourth Proportional to 382,064.80, 573,097.20 and 345,323.20

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Solution

The fourth proportional to 382,064.80, 573,097.20 and 345,323.20 is: 517,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,064.80 : 573,097.20 = 345,323.20 : x
  2. Step 2: Convert to fraction form
    382,064.80/573,097.20 = 345,323.20/x
  3. Step 3: Cross multiply
    382,064.80x = 573,097.20 × 345,323.20
  4. Step 4: Simplify right side
    382,064.80x = 197,903,759,015.04
  5. Step 5: Solve for x
    x = 197,903,759,015.04/382,064.80
  6. Step 6: Final answer
    x = 517,984.80

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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.