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Finding the Fourth Proportional to 446,908.80, 670,363.20 and 414,103.80

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Solution

The fourth proportional to 446,908.80, 670,363.20 and 414,103.80 is: 621,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,908.80 : 670,363.20 = 414,103.80 : x
  2. Step 2: Convert to fraction form
    446,908.80/670,363.20 = 414,103.80/x
  3. Step 3: Cross multiply
    446,908.80x = 670,363.20 × 414,103.80
  4. Step 4: Simplify right side
    446,908.80x = 277,599,948,500.16
  5. Step 5: Solve for x
    x = 277,599,948,500.16/446,908.80
  6. Step 6: Final answer
    x = 621,155.70

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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.