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Finding the Fourth Proportional to 511,004.92, 705,202.79 and 293,253.44

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Solution

The fourth proportional to 511,004.92, 705,202.79 and 293,253.44 is: 404,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,004.92 : 705,202.79 = 293,253.44 : x
  2. Step 2: Convert to fraction form
    511,004.92/705,202.79 = 293,253.44/x
  3. Step 3: Cross multiply
    511,004.92x = 705,202.79 × 293,253.44
  4. Step 4: Simplify right side
    511,004.92x = 206,803,144,065.10
  5. Step 5: Solve for x
    x = 206,803,144,065.10/511,004.92
  6. Step 6: Final answer
    x = 404,698.93

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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.