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Finding the Fourth Proportional to 471,480.40, 707,220.60 and 419,870.80

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Solution

The fourth proportional to 471,480.40, 707,220.60 and 419,870.80 is: 629,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,480.40 : 707,220.60 = 419,870.80 : x
  2. Step 2: Convert to fraction form
    471,480.40/707,220.60 = 419,870.80/x
  3. Step 3: Cross multiply
    471,480.40x = 707,220.60 × 419,870.80
  4. Step 4: Simplify right side
    471,480.40x = 296,941,279,098.48
  5. Step 5: Solve for x
    x = 296,941,279,098.48/471,480.40
  6. Step 6: Final answer
    x = 629,806.20

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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.