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Finding the Fourth Proportional to 298,011.28, 411,255.54 and 163,875.28

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Solution

The fourth proportional to 298,011.28, 411,255.54 and 163,875.28 is: 226,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,011.28 : 411,255.54 = 163,875.28 : x
  2. Step 2: Convert to fraction form
    298,011.28/411,255.54 = 163,875.28/x
  3. Step 3: Cross multiply
    298,011.28x = 411,255.54 × 163,875.28
  4. Step 4: Simplify right side
    298,011.28x = 67,394,616,769.05
  5. Step 5: Solve for x
    x = 67,394,616,769.05/298,011.28
  6. Step 6: Final answer
    x = 226,147.87

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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.