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Finding the Fourth Proportional to 298,332.28, 411,594.65 and 169,255.54

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Solution

The fourth proportional to 298,332.28, 411,594.65 and 169,255.54 is: 233,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,332.28 : 411,594.65 = 169,255.54 : x
  2. Step 2: Convert to fraction form
    298,332.28/411,594.65 = 169,255.54/x
  3. Step 3: Cross multiply
    298,332.28x = 411,594.65 × 169,255.54
  4. Step 4: Simplify right side
    298,332.28x = 69,664,675,049.78
  5. Step 5: Solve for x
    x = 69,664,675,049.78/298,332.28
  6. Step 6: Final answer
    x = 233,513.70

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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.