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Finding the Fourth Proportional to 298,154.94, 411,456.60 and 162,191.88

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Solution

The fourth proportional to 298,154.94, 411,456.60 and 162,191.88 is: 223,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,154.94 : 411,456.60 = 162,191.88 : x
  2. Step 2: Convert to fraction form
    298,154.94/411,456.60 = 162,191.88/x
  3. Step 3: Cross multiply
    298,154.94x = 411,456.60 × 162,191.88
  4. Step 4: Simplify right side
    298,154.94x = 66,734,919,492.41
  5. Step 5: Solve for x
    x = 66,734,919,492.41/298,154.94
  6. Step 6: Final answer
    x = 223,826.31

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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.