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Finding the Fourth Proportional to 360,930.15, 541,176 and 180,806.10

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Solution

The fourth proportional to 360,930.15, 541,176 and 180,806.10 is: 271,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,930.15 : 541,176 = 180,806.10 : x
  2. Step 2: Convert to fraction form
    360,930.15/541,176 = 180,806.10/x
  3. Step 3: Cross multiply
    360,930.15x = 541,176 × 180,806.10
  4. Step 4: Simplify right side
    360,930.15x = 97,847,921,973.60
  5. Step 5: Solve for x
    x = 97,847,921,973.60/360,930.15
  6. Step 6: Final answer
    x = 271,099.33

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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.