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Finding the Fourth Proportional to 410,673, 616,255.26 and 177,201

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Solution

The fourth proportional to 410,673, 616,255.26 and 177,201 is: 265,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,673 : 616,255.26 = 177,201 : x
  2. Step 2: Convert to fraction form
    410,673/616,255.26 = 177,201/x
  3. Step 3: Cross multiply
    410,673x = 616,255.26 × 177,201
  4. Step 4: Simplify right side
    410,673x = 109,201,048,327.26
  5. Step 5: Solve for x
    x = 109,201,048,327.26/410,673
  6. Step 6: Final answer
    x = 265,907.54

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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.