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Finding the Fourth Proportional to 298,045.86, 411,306.04 and 162,081.10

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Solution

The fourth proportional to 298,045.86, 411,306.04 and 162,081.10 is: 223,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,045.86 : 411,306.04 = 162,081.10 : x
  2. Step 2: Convert to fraction form
    298,045.86/411,306.04 = 162,081.10/x
  3. Step 3: Cross multiply
    298,045.86x = 411,306.04 × 162,081.10
  4. Step 4: Simplify right side
    298,045.86x = 66,664,932,891.28
  5. Step 5: Solve for x
    x = 66,664,932,891.28/298,045.86
  6. Step 6: Final answer
    x = 223,673.41

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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.