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Finding the Fourth Proportional to 470,672.20, 705,570.90 and 328,517.20

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Solution

The fourth proportional to 470,672.20, 705,570.90 and 328,517.20 is: 492,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,672.20 : 705,570.90 = 328,517.20 : x
  2. Step 2: Convert to fraction form
    470,672.20/705,570.90 = 328,517.20/x
  3. Step 3: Cross multiply
    470,672.20x = 705,570.90 × 328,517.20
  4. Step 4: Simplify right side
    470,672.20x = 231,792,176,469.48
  5. Step 5: Solve for x
    x = 231,792,176,469.48/470,672.20
  6. Step 6: Final answer
    x = 492,470.51

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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.