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Finding the Fourth Proportional to 511,832.40, 768,331.80 and 301,588.80

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Solution

The fourth proportional to 511,832.40, 768,331.80 and 301,588.80 is: 452,726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,832.40 : 768,331.80 = 301,588.80 : x
  2. Step 2: Convert to fraction form
    511,832.40/768,331.80 = 301,588.80/x
  3. Step 3: Cross multiply
    511,832.40x = 768,331.80 × 301,588.80
  4. Step 4: Simplify right side
    511,832.40x = 231,720,265,563.84
  5. Step 5: Solve for x
    x = 231,720,265,563.84/511,832.40
  6. Step 6: Final answer
    x = 452,726.84

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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.