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Finding the Fourth Proportional to 298,036.41, 411,301.07 and 170,736.61

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Solution

The fourth proportional to 298,036.41, 411,301.07 and 170,736.61 is: 235,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,036.41 : 411,301.07 = 170,736.61 : x
  2. Step 2: Convert to fraction form
    298,036.41/411,301.07 = 170,736.61/x
  3. Step 3: Cross multiply
    298,036.41x = 411,301.07 × 170,736.61
  4. Step 4: Simplify right side
    298,036.41x = 70,224,149,910.69
  5. Step 5: Solve for x
    x = 70,224,149,910.69/298,036.41
  6. Step 6: Final answer
    x = 235,622.72

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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.