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Finding the Fourth Proportional to 298,404.52, 411,816.92 and 164,268.52

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Solution

The fourth proportional to 298,404.52, 411,816.92 and 164,268.52 is: 226,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,404.52 : 411,816.92 = 164,268.52 : x
  2. Step 2: Convert to fraction form
    298,404.52/411,816.92 = 164,268.52/x
  3. Step 3: Cross multiply
    298,404.52x = 411,816.92 × 164,268.52
  4. Step 4: Simplify right side
    298,404.52x = 67,648,555,959.36
  5. Step 5: Solve for x
    x = 67,648,555,959.36/298,404.52
  6. Step 6: Final answer
    x = 226,700.84

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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.