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Finding the Fourth Proportional to 366,804.38, 550,208.38 and 166,985

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Solution

The fourth proportional to 366,804.38, 550,208.38 and 166,985 is: 250,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,804.38 : 550,208.38 = 166,985 : x
  2. Step 2: Convert to fraction form
    366,804.38/550,208.38 = 166,985/x
  3. Step 3: Cross multiply
    366,804.38x = 550,208.38 × 166,985
  4. Step 4: Simplify right side
    366,804.38x = 91,876,546,334.30
  5. Step 5: Solve for x
    x = 91,876,546,334.30/366,804.38
  6. Step 6: Final answer
    x = 250,478.32

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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.