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Finding the Fourth Proportional to 458,696.12, 686,996.60 and 218,978.64

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Solution

The fourth proportional to 458,696.12, 686,996.60 and 218,978.64 is: 327,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,696.12 : 686,996.60 = 218,978.64 : x
  2. Step 2: Convert to fraction form
    458,696.12/686,996.60 = 218,978.64/x
  3. Step 3: Cross multiply
    458,696.12x = 686,996.60 × 218,978.64
  4. Step 4: Simplify right side
    458,696.12x = 150,437,581,152.62
  5. Step 5: Solve for x
    x = 150,437,581,152.62/458,696.12
  6. Step 6: Final answer
    x = 327,967.85

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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.