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Finding the Fourth Proportional to 598,564.80, 897,890.40 and 361,396.80

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Solution

The fourth proportional to 598,564.80, 897,890.40 and 361,396.80 is: 542,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,564.80 : 897,890.40 = 361,396.80 : x
  2. Step 2: Convert to fraction form
    598,564.80/897,890.40 = 361,396.80/x
  3. Step 3: Cross multiply
    598,564.80x = 897,890.40 × 361,396.80
  4. Step 4: Simplify right side
    598,564.80x = 324,494,717,310.72
  5. Step 5: Solve for x
    x = 324,494,717,310.72/598,564.80
  6. Step 6: Final answer
    x = 542,121.28

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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.