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Finding the Fourth Proportional to 380,474.54, 570,736.41 and 127,744.82

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Solution

The fourth proportional to 380,474.54, 570,736.41 and 127,744.82 is: 191,625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,474.54 : 570,736.41 = 127,744.82 : x
  2. Step 2: Convert to fraction form
    380,474.54/570,736.41 = 127,744.82/x
  3. Step 3: Cross multiply
    380,474.54x = 570,736.41 × 127,744.82
  4. Step 4: Simplify right side
    380,474.54x = 72,908,617,109.21
  5. Step 5: Solve for x
    x = 72,908,617,109.21/380,474.54
  6. Step 6: Final answer
    x = 191,625.48

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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.