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Finding the Fourth Proportional to 311,253.68, 467,026.32 and 153,396.02

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Solution

The fourth proportional to 311,253.68, 467,026.32 and 153,396.02 is: 230,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,253.68 : 467,026.32 = 153,396.02 : x
  2. Step 2: Convert to fraction form
    311,253.68/467,026.32 = 153,396.02/x
  3. Step 3: Cross multiply
    311,253.68x = 467,026.32 × 153,396.02
  4. Step 4: Simplify right side
    311,253.68x = 71,639,978,723.25
  5. Step 5: Solve for x
    x = 71,639,978,723.25/311,253.68
  6. Step 6: Final answer
    x = 230,165.89

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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.