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Finding the Fourth Proportional to 298,165.47, 411,475.86 and 162,207.06

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Solution

The fourth proportional to 298,165.47, 411,475.86 and 162,207.06 is: 223,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,165.47 : 411,475.86 = 162,207.06 : x
  2. Step 2: Convert to fraction form
    298,165.47/411,475.86 = 162,207.06/x
  3. Step 3: Cross multiply
    298,165.47x = 411,475.86 × 162,207.06
  4. Step 4: Simplify right side
    298,165.47x = 66,744,289,511.57
  5. Step 5: Solve for x
    x = 66,744,289,511.57/298,165.47
  6. Step 6: Final answer
    x = 223,849.83

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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.