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Finding the Fourth Proportional to 460,494.98, 691,213.62 and 380,277.44

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Solution

The fourth proportional to 460,494.98, 691,213.62 and 380,277.44 is: 570,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,494.98 : 691,213.62 = 380,277.44 : x
  2. Step 2: Convert to fraction form
    460,494.98/691,213.62 = 380,277.44/x
  3. Step 3: Cross multiply
    460,494.98x = 691,213.62 × 380,277.44
  4. Step 4: Simplify right side
    460,494.98x = 262,852,945,906.73
  5. Step 5: Solve for x
    x = 262,852,945,906.73/460,494.98
  6. Step 6: Final answer
    x = 570,805.24

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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.