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Finding the Fourth Proportional to 311,797.96, 467,347.02 and 154,137.13

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Solution

The fourth proportional to 311,797.96, 467,347.02 and 154,137.13 is: 231,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,797.96 : 467,347.02 = 154,137.13 : x
  2. Step 2: Convert to fraction form
    311,797.96/467,347.02 = 154,137.13/x
  3. Step 3: Cross multiply
    311,797.96x = 467,347.02 × 154,137.13
  4. Step 4: Simplify right side
    311,797.96x = 72,035,528,376.85
  5. Step 5: Solve for x
    x = 72,035,528,376.85/311,797.96
  6. Step 6: Final answer
    x = 231,032.71

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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.