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Finding the Fourth Proportional to 383,693.14, 575,584.17 and 127,548.64

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Solution

The fourth proportional to 383,693.14, 575,584.17 and 127,548.64 is: 191,337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,693.14 : 575,584.17 = 127,548.64 : x
  2. Step 2: Convert to fraction form
    383,693.14/575,584.17 = 127,548.64/x
  3. Step 3: Cross multiply
    383,693.14x = 575,584.17 × 127,548.64
  4. Step 4: Simplify right side
    383,693.14x = 73,414,978,089.03
  5. Step 5: Solve for x
    x = 73,414,978,089.03/383,693.14
  6. Step 6: Final answer
    x = 191,337.74

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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.