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Finding the Fourth Proportional to 298,044.48, 411,293.12 and 163,908.48

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Solution

The fourth proportional to 298,044.48, 411,293.12 and 163,908.48 is: 226,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,044.48 : 411,293.12 = 163,908.48 : x
  2. Step 2: Convert to fraction form
    298,044.48/411,293.12 = 163,908.48/x
  3. Step 3: Cross multiply
    298,044.48x = 411,293.12 × 163,908.48
  4. Step 4: Simplify right side
    298,044.48x = 67,414,430,133.66
  5. Step 5: Solve for x
    x = 67,414,430,133.66/298,044.48
  6. Step 6: Final answer
    x = 226,189.16

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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.