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Finding the Fourth Proportional to 500,782.23, 691,064.46 and 285,880.32

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Solution

The fourth proportional to 500,782.23, 691,064.46 and 285,880.32 is: 394,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,782.23 : 691,064.46 = 285,880.32 : x
  2. Step 2: Convert to fraction form
    500,782.23/691,064.46 = 285,880.32/x
  3. Step 3: Cross multiply
    500,782.23x = 691,064.46 × 285,880.32
  4. Step 4: Simplify right side
    500,782.23x = 197,561,728,965.43
  5. Step 5: Solve for x
    x = 197,561,728,965.43/500,782.23
  6. Step 6: Final answer
    x = 394,506.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.