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Finding the Fourth Proportional to 526,334.88, 789,200 and 206,111.76

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Solution

The fourth proportional to 526,334.88, 789,200 and 206,111.76 is: 309,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,334.88 : 789,200 = 206,111.76 : x
  2. Step 2: Convert to fraction form
    526,334.88/789,200 = 206,111.76/x
  3. Step 3: Cross multiply
    526,334.88x = 789,200 × 206,111.76
  4. Step 4: Simplify right side
    526,334.88x = 162,663,400,992
  5. Step 5: Solve for x
    x = 162,663,400,992/526,334.88
  6. Step 6: Final answer
    x = 309,049.25

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1.5x scale

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.