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Finding the Fourth Proportional to 311,289.40, 466,185.66 and 177,764.92

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Solution

The fourth proportional to 311,289.40, 466,185.66 and 177,764.92 is: 266,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,289.40 : 466,185.66 = 177,764.92 : x
  2. Step 2: Convert to fraction form
    311,289.40/466,185.66 = 177,764.92/x
  3. Step 3: Cross multiply
    311,289.40x = 466,185.66 × 177,764.92
  4. Step 4: Simplify right side
    311,289.40x = 82,871,456,555.05
  5. Step 5: Solve for x
    x = 82,871,456,555.05/311,289.40
  6. Step 6: Final answer
    x = 266,219.98

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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.