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Finding the Fourth Proportional to 452,102.64, 678,039.76 and 167,636.88

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Solution

The fourth proportional to 452,102.64, 678,039.76 and 167,636.88 is: 251,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,102.64 : 678,039.76 = 167,636.88 : x
  2. Step 2: Convert to fraction form
    452,102.64/678,039.76 = 167,636.88/x
  3. Step 3: Cross multiply
    452,102.64x = 678,039.76 × 167,636.88
  4. Step 4: Simplify right side
    452,102.64x = 113,664,469,882.35
  5. Step 5: Solve for x
    x = 113,664,469,882.35/452,102.64
  6. Step 6: Final answer
    x = 251,412.98

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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.