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Finding the Fourth Proportional to 416,342.28, 624,512.46 and 321,710.04

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Solution

The fourth proportional to 416,342.28, 624,512.46 and 321,710.04 is: 482,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,342.28 : 624,512.46 = 321,710.04 : x
  2. Step 2: Convert to fraction form
    416,342.28/624,512.46 = 321,710.04/x
  3. Step 3: Cross multiply
    416,342.28x = 624,512.46 × 321,710.04
  4. Step 4: Simplify right side
    416,342.28x = 200,911,928,487.10
  5. Step 5: Solve for x
    x = 200,911,928,487.10/416,342.28
  6. Step 6: Final answer
    x = 482,564.32

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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.