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Finding the Fourth Proportional to 446,698.22, 670,129.42 and 147,196.46

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Solution

The fourth proportional to 446,698.22, 670,129.42 and 147,196.46 is: 220,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,698.22 : 670,129.42 = 147,196.46 : x
  2. Step 2: Convert to fraction form
    446,698.22/670,129.42 = 147,196.46/x
  3. Step 3: Cross multiply
    446,698.22x = 670,129.42 × 147,196.46
  4. Step 4: Simplify right side
    446,698.22x = 98,640,678,365.85
  5. Step 5: Solve for x
    x = 98,640,678,365.85/446,698.22
  6. Step 6: Final answer
    x = 220,821.74

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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.