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Finding the Fourth Proportional to 311,228.58, 466,675.79 and 97,956.57

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Solution

The fourth proportional to 311,228.58, 466,675.79 and 97,956.57 is: 146,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,228.58 : 466,675.79 = 97,956.57 : x
  2. Step 2: Convert to fraction form
    311,228.58/466,675.79 = 97,956.57/x
  3. Step 3: Cross multiply
    311,228.58x = 466,675.79 × 97,956.57
  4. Step 4: Simplify right side
    311,228.58x = 45,713,959,200.66
  5. Step 5: Solve for x
    x = 45,713,959,200.66/311,228.58
  6. Step 6: Final answer
    x = 146,882.27

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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.