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Finding the Fourth Proportional to 446,749.01, 670,122.06 and 180,506.33

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Solution

The fourth proportional to 446,749.01, 670,122.06 and 180,506.33 is: 270,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,749.01 : 670,122.06 = 180,506.33 : x
  2. Step 2: Convert to fraction form
    446,749.01/670,122.06 = 180,506.33/x
  3. Step 3: Cross multiply
    446,749.01x = 670,122.06 × 180,506.33
  4. Step 4: Simplify right side
    446,749.01x = 120,961,273,702.64
  5. Step 5: Solve for x
    x = 120,961,273,702.64/446,749.01
  6. Step 6: Final answer
    x = 270,758.91

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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.