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Finding the Fourth Proportional to 633,099, 949,648.50 and 189,867

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Solution

The fourth proportional to 633,099, 949,648.50 and 189,867 is: 284,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,099 : 949,648.50 = 189,867 : x
  2. Step 2: Convert to fraction form
    633,099/949,648.50 = 189,867/x
  3. Step 3: Cross multiply
    633,099x = 949,648.50 × 189,867
  4. Step 4: Simplify right side
    633,099x = 180,306,911,749.50
  5. Step 5: Solve for x
    x = 180,306,911,749.50/633,099
  6. Step 6: Final answer
    x = 284,800.50

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Similar ratio
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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.