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Finding the Fourth Proportional to 408,019.80, 612,029.70 and 401,021.40

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Solution

The fourth proportional to 408,019.80, 612,029.70 and 401,021.40 is: 601,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,019.80 : 612,029.70 = 401,021.40 : x
  2. Step 2: Convert to fraction form
    408,019.80/612,029.70 = 401,021.40/x
  3. Step 3: Cross multiply
    408,019.80x = 612,029.70 × 401,021.40
  4. Step 4: Simplify right side
    408,019.80x = 245,437,007,135.58
  5. Step 5: Solve for x
    x = 245,437,007,135.58/408,019.80
  6. Step 6: Final answer
    x = 601,532.10

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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.