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Finding the Fourth Proportional to 341,740.56, 471,609.24 and 190,837.44

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Solution

The fourth proportional to 341,740.56, 471,609.24 and 190,837.44 is: 263,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,740.56 : 471,609.24 = 190,837.44 : x
  2. Step 2: Convert to fraction form
    341,740.56/471,609.24 = 190,837.44/x
  3. Step 3: Cross multiply
    341,740.56x = 471,609.24 × 190,837.44
  4. Step 4: Simplify right side
    341,740.56x = 90,000,700,041.95
  5. Step 5: Solve for x
    x = 90,000,700,041.95/341,740.56
  6. Step 6: Final answer
    x = 263,359.73

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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.