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Finding the Fourth Proportional to 509,738.40, 765,190.80 and 299,494.80

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Solution

The fourth proportional to 509,738.40, 765,190.80 and 299,494.80 is: 449,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,738.40 : 765,190.80 = 299,494.80 : x
  2. Step 2: Convert to fraction form
    509,738.40/765,190.80 = 299,494.80/x
  3. Step 3: Cross multiply
    509,738.40x = 765,190.80 × 299,494.80
  4. Step 4: Simplify right side
    509,738.40x = 229,170,665,607.84
  5. Step 5: Solve for x
    x = 229,170,665,607.84/509,738.40
  6. Step 6: Final answer
    x = 449,584.86

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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.