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Finding the Fourth Proportional to 270,423.76, 405,636.33 and 110,499.70

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Solution

The fourth proportional to 270,423.76, 405,636.33 and 110,499.70 is: 165,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,423.76 : 405,636.33 = 110,499.70 : x
  2. Step 2: Convert to fraction form
    270,423.76/405,636.33 = 110,499.70/x
  3. Step 3: Cross multiply
    270,423.76x = 405,636.33 × 110,499.70
  4. Step 4: Simplify right side
    270,423.76x = 44,822,692,174.38
  5. Step 5: Solve for x
    x = 44,822,692,174.38/270,423.76
  6. Step 6: Final answer
    x = 165,749.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.