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Finding the Fourth Proportional to 438,640.80, 658,220.40 and 320,013.60

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Solution

The fourth proportional to 438,640.80, 658,220.40 and 320,013.60 is: 480,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,640.80 : 658,220.40 = 320,013.60 : x
  2. Step 2: Convert to fraction form
    438,640.80/658,220.40 = 320,013.60/x
  3. Step 3: Cross multiply
    438,640.80x = 658,220.40 × 320,013.60
  4. Step 4: Simplify right side
    438,640.80x = 210,639,479,797.44
  5. Step 5: Solve for x
    x = 210,639,479,797.44/438,640.80
  6. Step 6: Final answer
    x = 480,209.50

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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.