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Finding the Fourth Proportional to 526,230.56, 789,214.44 and 206,447.60

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Solution

The fourth proportional to 526,230.56, 789,214.44 and 206,447.60 is: 309,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,230.56 : 789,214.44 = 206,447.60 : x
  2. Step 2: Convert to fraction form
    526,230.56/789,214.44 = 206,447.60/x
  3. Step 3: Cross multiply
    526,230.56x = 789,214.44 × 206,447.60
  4. Step 4: Simplify right side
    526,230.56x = 162,931,427,023.34
  5. Step 5: Solve for x
    x = 162,931,427,023.34/526,230.56
  6. Step 6: Final answer
    x = 309,619.85

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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.