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Finding the Fourth Proportional to 533,414.60, 800,237.10 and 159,475.40

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Solution

The fourth proportional to 533,414.60, 800,237.10 and 159,475.40 is: 239,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,414.60 : 800,237.10 = 159,475.40 : x
  2. Step 2: Convert to fraction form
    533,414.60/800,237.10 = 159,475.40/x
  3. Step 3: Cross multiply
    533,414.60x = 800,237.10 × 159,475.40
  4. Step 4: Simplify right side
    533,414.60x = 127,618,131,617.34
  5. Step 5: Solve for x
    x = 127,618,131,617.34/533,414.60
  6. Step 6: Final answer
    x = 239,247.54

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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.