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Finding the Fourth Proportional to 214,466.46, 321,697.53 and 54,542.76

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Solution

The fourth proportional to 214,466.46, 321,697.53 and 54,542.76 is: 81,813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,466.46 : 321,697.53 = 54,542.76 : x
  2. Step 2: Convert to fraction form
    214,466.46/321,697.53 = 54,542.76/x
  3. Step 3: Cross multiply
    214,466.46x = 321,697.53 × 54,542.76
  4. Step 4: Simplify right side
    214,466.46x = 17,546,271,171.38
  5. Step 5: Solve for x
    x = 17,546,271,171.38/214,466.46
  6. Step 6: Final answer
    x = 81,813.59

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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.