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Finding the Fourth Proportional to 298,506.39, 411,917.97 and 169,447.47

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Solution

The fourth proportional to 298,506.39, 411,917.97 and 169,447.47 is: 233,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,506.39 : 411,917.97 = 169,447.47 : x
  2. Step 2: Convert to fraction form
    298,506.39/411,917.97 = 169,447.47/x
  3. Step 3: Cross multiply
    298,506.39x = 411,917.97 × 169,447.47
  4. Step 4: Simplify right side
    298,506.39x = 69,798,457,864.04
  5. Step 5: Solve for x
    x = 69,798,457,864.04/298,506.39
  6. Step 6: Final answer
    x = 233,825.67

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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.