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Finding the Fourth Proportional to 276,698.61, 414,110.41 and 170,150.03

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Solution

The fourth proportional to 276,698.61, 414,110.41 and 170,150.03 is: 254,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,698.61 : 414,110.41 = 170,150.03 : x
  2. Step 2: Convert to fraction form
    276,698.61/414,110.41 = 170,150.03/x
  3. Step 3: Cross multiply
    276,698.61x = 414,110.41 × 170,150.03
  4. Step 4: Simplify right side
    276,698.61x = 70,460,897,741.80
  5. Step 5: Solve for x
    x = 70,460,897,741.80/276,698.61
  6. Step 6: Final answer
    x = 254,648.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.