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Finding the Fourth Proportional to 511,076.81, 705,300.58 and 284,736.89

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Solution

The fourth proportional to 511,076.81, 705,300.58 and 284,736.89 is: 392,945.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,076.81 : 705,300.58 = 284,736.89 : x
  2. Step 2: Convert to fraction form
    511,076.81/705,300.58 = 284,736.89/x
  3. Step 3: Cross multiply
    511,076.81x = 705,300.58 × 284,736.89
  4. Step 4: Simplify right side
    511,076.81x = 200,825,095,783.57
  5. Step 5: Solve for x
    x = 200,825,095,783.57/511,076.81
  6. Step 6: Final answer
    x = 392,945.03

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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.