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Finding the Fourth Proportional to 397,564.20, 596,672.70 and 394,453.80

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Solution

The fourth proportional to 397,564.20, 596,672.70 and 394,453.80 is: 592,004.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,564.20 : 596,672.70 = 394,453.80 : x
  2. Step 2: Convert to fraction form
    397,564.20/596,672.70 = 394,453.80/x
  3. Step 3: Cross multiply
    397,564.20x = 596,672.70 × 394,453.80
  4. Step 4: Simplify right side
    397,564.20x = 235,359,813,871.26
  5. Step 5: Solve for x
    x = 235,359,813,871.26/397,564.20
  6. Step 6: Final answer
    x = 592,004.55

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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.