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Finding the Fourth Proportional to 412,347.06, 569,040.93 and 269,022.42

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Solution

The fourth proportional to 412,347.06, 569,040.93 and 269,022.42 is: 371,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,347.06 : 569,040.93 = 269,022.42 : x
  2. Step 2: Convert to fraction form
    412,347.06/569,040.93 = 269,022.42/x
  3. Step 3: Cross multiply
    412,347.06x = 569,040.93 × 269,022.42
  4. Step 4: Simplify right side
    412,347.06x = 153,084,768,067.65
  5. Step 5: Solve for x
    x = 153,084,768,067.65/412,347.06
  6. Step 6: Final answer
    x = 371,252.24

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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.