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Finding the Fourth Proportional to 270,353, 405,618.35 and 110,563.35

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Solution

The fourth proportional to 270,353, 405,618.35 and 110,563.35 is: 165,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,353 : 405,618.35 = 110,563.35 : x
  2. Step 2: Convert to fraction form
    270,353/405,618.35 = 110,563.35/x
  3. Step 3: Cross multiply
    270,353x = 405,618.35 × 110,563.35
  4. Step 4: Simplify right side
    270,353x = 44,846,523,597.47
  5. Step 5: Solve for x
    x = 44,846,523,597.47/270,353
  6. Step 6: Final answer
    x = 165,881.36

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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.