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Finding the Fourth Proportional to 414,689.93, 622,030.79 and 189,986.61

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Solution

The fourth proportional to 414,689.93, 622,030.79 and 189,986.61 is: 284,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,689.93 : 622,030.79 = 189,986.61 : x
  2. Step 2: Convert to fraction form
    414,689.93/622,030.79 = 189,986.61/x
  3. Step 3: Cross multiply
    414,689.93x = 622,030.79 × 189,986.61
  4. Step 4: Simplify right side
    414,689.93x = 118,177,523,915.30
  5. Step 5: Solve for x
    x = 118,177,523,915.30/414,689.93
  6. Step 6: Final answer
    x = 284,978.04

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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.