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Finding the Fourth Proportional to 311,596.28, 468,270.82 and 185,259.22

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Solution

The fourth proportional to 311,596.28, 468,270.82 and 185,259.22 is: 278,409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,596.28 : 468,270.82 = 185,259.22 : x
  2. Step 2: Convert to fraction form
    311,596.28/468,270.82 = 185,259.22/x
  3. Step 3: Cross multiply
    311,596.28x = 468,270.82 × 185,259.22
  4. Step 4: Simplify right side
    311,596.28x = 86,751,486,861.96
  5. Step 5: Solve for x
    x = 86,751,486,861.96/311,596.28
  6. Step 6: Final answer
    x = 278,409.89

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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.