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Finding the Fourth Proportional to 311,510.70, 467,266.05 and 232,778.70

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Solution

The fourth proportional to 311,510.70, 467,266.05 and 232,778.70 is: 349,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,510.70 : 467,266.05 = 232,778.70 : x
  2. Step 2: Convert to fraction form
    311,510.70/467,266.05 = 232,778.70/x
  3. Step 3: Cross multiply
    311,510.70x = 467,266.05 × 232,778.70
  4. Step 4: Simplify right side
    311,510.70x = 108,769,583,673.14
  5. Step 5: Solve for x
    x = 108,769,583,673.14/311,510.70
  6. Step 6: Final answer
    x = 349,168.05

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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.