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Finding the Fourth Proportional to 486,131.40, 729,415.80 and 219,754.80

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Solution

The fourth proportional to 486,131.40, 729,415.80 and 219,754.80 is: 329,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,131.40 : 729,415.80 = 219,754.80 : x
  2. Step 2: Convert to fraction form
    486,131.40/729,415.80 = 219,754.80/x
  3. Step 3: Cross multiply
    486,131.40x = 729,415.80 × 219,754.80
  4. Step 4: Simplify right side
    486,131.40x = 160,292,623,245.84
  5. Step 5: Solve for x
    x = 160,292,623,245.84/486,131.40
  6. Step 6: Final answer
    x = 329,731.06

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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.