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Finding the Fourth Proportional to 427,740.40, 640,228.20 and 394,562.80

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Solution

The fourth proportional to 427,740.40, 640,228.20 and 394,562.80 is: 590,569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,740.40 : 640,228.20 = 394,562.80 : x
  2. Step 2: Convert to fraction form
    427,740.40/640,228.20 = 394,562.80/x
  3. Step 3: Cross multiply
    427,740.40x = 640,228.20 × 394,562.80
  4. Step 4: Simplify right side
    427,740.40x = 252,610,231,230.96
  5. Step 5: Solve for x
    x = 252,610,231,230.96/427,740.40
  6. Step 6: Final answer
    x = 590,569.03

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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.