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Finding the Fourth Proportional to 412,706.07, 569,292.39 and 259,501.41

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Solution

The fourth proportional to 412,706.07, 569,292.39 and 259,501.41 is: 357,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,706.07 : 569,292.39 = 259,501.41 : x
  2. Step 2: Convert to fraction form
    412,706.07/569,292.39 = 259,501.41/x
  3. Step 3: Cross multiply
    412,706.07x = 569,292.39 × 259,501.41
  4. Step 4: Simplify right side
    412,706.07x = 147,732,177,907.27
  5. Step 5: Solve for x
    x = 147,732,177,907.27/412,706.07
  6. Step 6: Final answer
    x = 357,959.79

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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.