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Finding the Fourth Proportional to 511,472.87, 705,694.11 and 290,707.07

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Solution

The fourth proportional to 511,472.87, 705,694.11 and 290,707.07 is: 401,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,472.87 : 705,694.11 = 290,707.07 : x
  2. Step 2: Convert to fraction form
    511,472.87/705,694.11 = 290,707.07/x
  3. Step 3: Cross multiply
    511,472.87x = 705,694.11 × 290,707.07
  4. Step 4: Simplify right side
    511,472.87x = 205,150,263,505.89
  5. Step 5: Solve for x
    x = 205,150,263,505.89/511,472.87
  6. Step 6: Final answer
    x = 401,097.06

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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.