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Finding the Fourth Proportional to 486,206.40, 729,309.60 and 419,721.60

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Solution

The fourth proportional to 486,206.40, 729,309.60 and 419,721.60 is: 629,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,206.40 : 729,309.60 = 419,721.60 : x
  2. Step 2: Convert to fraction form
    486,206.40/729,309.60 = 419,721.60/x
  3. Step 3: Cross multiply
    486,206.40x = 729,309.60 × 419,721.60
  4. Step 4: Simplify right side
    486,206.40x = 306,106,992,207.36
  5. Step 5: Solve for x
    x = 306,106,992,207.36/486,206.40
  6. Step 6: Final answer
    x = 629,582.40

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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.