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Finding the Fourth Proportional to 382,380.68, 573,533.64 and 116,143.50

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Solution

The fourth proportional to 382,380.68, 573,533.64 and 116,143.50 is: 174,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,380.68 : 573,533.64 = 116,143.50 : x
  2. Step 2: Convert to fraction form
    382,380.68/573,533.64 = 116,143.50/x
  3. Step 3: Cross multiply
    382,380.68x = 573,533.64 × 116,143.50
  4. Step 4: Simplify right side
    382,380.68x = 66,612,204,317.34
  5. Step 5: Solve for x
    x = 66,612,204,317.34/382,380.68
  6. Step 6: Final answer
    x = 174,203.90

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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.