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Finding the Fourth Proportional to 446,713.98, 670,196.03 and 180,661.32

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Solution

The fourth proportional to 446,713.98, 670,196.03 and 180,661.32 is: 271,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,713.98 : 670,196.03 = 180,661.32 : x
  2. Step 2: Convert to fraction form
    446,713.98/670,196.03 = 180,661.32/x
  3. Step 3: Cross multiply
    446,713.98x = 670,196.03 × 180,661.32
  4. Step 4: Simplify right side
    446,713.98x = 121,078,498,535.25
  5. Step 5: Solve for x
    x = 121,078,498,535.25/446,713.98
  6. Step 6: Final answer
    x = 271,042.56

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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.