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Finding the Fourth Proportional to 408,075.40, 612,113.10 and 404,138.80

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Solution

The fourth proportional to 408,075.40, 612,113.10 and 404,138.80 is: 606,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,075.40 : 612,113.10 = 404,138.80 : x
  2. Step 2: Convert to fraction form
    408,075.40/612,113.10 = 404,138.80/x
  3. Step 3: Cross multiply
    408,075.40x = 612,113.10 × 404,138.80
  4. Step 4: Simplify right side
    408,075.40x = 247,378,653,698.28
  5. Step 5: Solve for x
    x = 247,378,653,698.28/408,075.40
  6. Step 6: Final answer
    x = 606,208.20

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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.