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Finding the Fourth Proportional to 311,822.40, 467,733.60 and 154,358.40

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Solution

The fourth proportional to 311,822.40, 467,733.60 and 154,358.40 is: 231,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,822.40 : 467,733.60 = 154,358.40 : x
  2. Step 2: Convert to fraction form
    311,822.40/467,733.60 = 154,358.40/x
  3. Step 3: Cross multiply
    311,822.40x = 467,733.60 × 154,358.40
  4. Step 4: Simplify right side
    311,822.40x = 72,198,610,122.24
  5. Step 5: Solve for x
    x = 72,198,610,122.24/311,822.40
  6. Step 6: Final answer
    x = 231,537.60

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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.