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Finding the Fourth Proportional to 288,106.44, 397,624.50 and 160,808.46

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Solution

The fourth proportional to 288,106.44, 397,624.50 and 160,808.46 is: 221,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,106.44 : 397,624.50 = 160,808.46 : x
  2. Step 2: Convert to fraction form
    288,106.44/397,624.50 = 160,808.46/x
  3. Step 3: Cross multiply
    288,106.44x = 397,624.50 × 160,808.46
  4. Step 4: Simplify right side
    288,106.44x = 63,941,383,503.27
  5. Step 5: Solve for x
    x = 63,941,383,503.27/288,106.44
  6. Step 6: Final answer
    x = 221,936.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.