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Finding the Fourth Proportional to 550,142.81, 759,274.79 and 305,182.38

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Solution

The fourth proportional to 550,142.81, 759,274.79 and 305,182.38 is: 421,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,142.81 : 759,274.79 = 305,182.38 : x
  2. Step 2: Convert to fraction form
    550,142.81/759,274.79 = 305,182.38/x
  3. Step 3: Cross multiply
    550,142.81x = 759,274.79 × 305,182.38
  4. Step 4: Simplify right side
    550,142.81x = 231,717,285,960.29
  5. Step 5: Solve for x
    x = 231,717,285,960.29/550,142.81
  6. Step 6: Final answer
    x = 421,194.79

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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.