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Finding the Fourth Proportional to 408,010.80, 612,016.20 and 314,698.80

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Solution

The fourth proportional to 408,010.80, 612,016.20 and 314,698.80 is: 472,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,010.80 : 612,016.20 = 314,698.80 : x
  2. Step 2: Convert to fraction form
    408,010.80/612,016.20 = 314,698.80/x
  3. Step 3: Cross multiply
    408,010.80x = 612,016.20 × 314,698.80
  4. Step 4: Simplify right side
    408,010.80x = 192,600,763,720.56
  5. Step 5: Solve for x
    x = 192,600,763,720.56/408,010.80
  6. Step 6: Final answer
    x = 472,048.20

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1.5x scale

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.