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Finding the Fourth Proportional to 382,817.67, 574,347.19 and 180,405.60

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Solution

The fourth proportional to 382,817.67, 574,347.19 and 180,405.60 is: 270,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,817.67 : 574,347.19 = 180,405.60 : x
  2. Step 2: Convert to fraction form
    382,817.67/574,347.19 = 180,405.60/x
  3. Step 3: Cross multiply
    382,817.67x = 574,347.19 × 180,405.60
  4. Step 4: Simplify right side
    382,817.67x = 103,615,446,815.45
  5. Step 5: Solve for x
    x = 103,615,446,815.45/382,817.67
  6. Step 6: Final answer
    x = 270,665.27

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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.