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Finding the Fourth Proportional to 446,912.64, 670,224.96 and 147,323.52

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Solution

The fourth proportional to 446,912.64, 670,224.96 and 147,323.52 is: 220,937.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,912.64 : 670,224.96 = 147,323.52 : x
  2. Step 2: Convert to fraction form
    446,912.64/670,224.96 = 147,323.52/x
  3. Step 3: Cross multiply
    446,912.64x = 670,224.96 × 147,323.52
  4. Step 4: Simplify right side
    446,912.64x = 98,739,900,299.06
  5. Step 5: Solve for x
    x = 98,739,900,299.06/446,912.64
  6. Step 6: Final answer
    x = 220,937.81

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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.