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Finding the Fourth Proportional to 341,234.64, 511,370.82 and 161,127.90

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Solution

The fourth proportional to 341,234.64, 511,370.82 and 161,127.90 is: 241,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,234.64 : 511,370.82 = 161,127.90 : x
  2. Step 2: Convert to fraction form
    341,234.64/511,370.82 = 161,127.90/x
  3. Step 3: Cross multiply
    341,234.64x = 511,370.82 × 161,127.90
  4. Step 4: Simplify right side
    341,234.64x = 82,396,106,347.88
  5. Step 5: Solve for x
    x = 82,396,106,347.88/341,234.64
  6. Step 6: Final answer
    x = 241,464.66

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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.