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Finding the Fourth Proportional to 462,121.20, 693,181.80 and 213,289.20

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Solution

The fourth proportional to 462,121.20, 693,181.80 and 213,289.20 is: 319,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,121.20 : 693,181.80 = 213,289.20 : x
  2. Step 2: Convert to fraction form
    462,121.20/693,181.80 = 213,289.20/x
  3. Step 3: Cross multiply
    462,121.20x = 693,181.80 × 213,289.20
  4. Step 4: Simplify right side
    462,121.20x = 147,848,191,576.56
  5. Step 5: Solve for x
    x = 147,848,191,576.56/462,121.20
  6. Step 6: Final answer
    x = 319,933.80

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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.