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Finding the Fourth Proportional to 311,027.40, 466,541.10 and 111,354.30

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Solution

The fourth proportional to 311,027.40, 466,541.10 and 111,354.30 is: 167,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,027.40 : 466,541.10 = 111,354.30 : x
  2. Step 2: Convert to fraction form
    311,027.40/466,541.10 = 111,354.30/x
  3. Step 3: Cross multiply
    311,027.40x = 466,541.10 × 111,354.30
  4. Step 4: Simplify right side
    311,027.40x = 51,951,357,611.73
  5. Step 5: Solve for x
    x = 51,951,357,611.73/311,027.40
  6. Step 6: Final answer
    x = 167,031.45

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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.