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Finding the Fourth Proportional to 408,048.80, 612,073.20 and 314,736.80

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Solution

The fourth proportional to 408,048.80, 612,073.20 and 314,736.80 is: 472,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,048.80 : 612,073.20 = 314,736.80 : x
  2. Step 2: Convert to fraction form
    408,048.80/612,073.20 = 314,736.80/x
  3. Step 3: Cross multiply
    408,048.80x = 612,073.20 × 314,736.80
  4. Step 4: Simplify right side
    408,048.80x = 192,641,960,333.76
  5. Step 5: Solve for x
    x = 192,641,960,333.76/408,048.80
  6. Step 6: Final answer
    x = 472,105.20

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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.