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Finding the Fourth Proportional to 298,548.73, 411,978.58 and 164,412.73

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Solution

The fourth proportional to 298,548.73, 411,978.58 and 164,412.73 is: 226,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,548.73 : 411,978.58 = 164,412.73 : x
  2. Step 2: Convert to fraction form
    298,548.73/411,978.58 = 164,412.73/x
  3. Step 3: Cross multiply
    298,548.73x = 411,978.58 × 164,412.73
  4. Step 4: Simplify right side
    298,548.73x = 67,734,523,039.32
  5. Step 5: Solve for x
    x = 67,734,523,039.32/298,548.73
  6. Step 6: Final answer
    x = 226,879.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.