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Finding the Fourth Proportional to 408,921.80, 613,382.70 and 282,950.60

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Solution

The fourth proportional to 408,921.80, 613,382.70 and 282,950.60 is: 424,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,921.80 : 613,382.70 = 282,950.60 : x
  2. Step 2: Convert to fraction form
    408,921.80/613,382.70 = 282,950.60/x
  3. Step 3: Cross multiply
    408,921.80x = 613,382.70 × 282,950.60
  4. Step 4: Simplify right side
    408,921.80x = 173,557,002,994.62
  5. Step 5: Solve for x
    x = 173,557,002,994.62/408,921.80
  6. Step 6: Final answer
    x = 424,425.90

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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.