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Finding the Fourth Proportional to 394,438.30, 590,977.05 and 183,643.90

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Solution

The fourth proportional to 394,438.30, 590,977.05 and 183,643.90 is: 275,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,438.30 : 590,977.05 = 183,643.90 : x
  2. Step 2: Convert to fraction form
    394,438.30/590,977.05 = 183,643.90/x
  3. Step 3: Cross multiply
    394,438.30x = 590,977.05 × 183,643.90
  4. Step 4: Simplify right side
    394,438.30x = 108,529,330,272.50
  5. Step 5: Solve for x
    x = 108,529,330,272.50/394,438.30
  6. Step 6: Final answer
    x = 275,149.07

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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.