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Finding the Fourth Proportional to 311,923.70, 468,047.55 and 145,711.70

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Solution

The fourth proportional to 311,923.70, 468,047.55 and 145,711.70 is: 218,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,923.70 : 468,047.55 = 145,711.70 : x
  2. Step 2: Convert to fraction form
    311,923.70/468,047.55 = 145,711.70/x
  3. Step 3: Cross multiply
    311,923.70x = 468,047.55 × 145,711.70
  4. Step 4: Simplify right side
    311,923.70x = 68,200,004,191.34
  5. Step 5: Solve for x
    x = 68,200,004,191.34/311,923.70
  6. Step 6: Final answer
    x = 218,643.23

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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.