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Finding the Fourth Proportional to 515,821.20, 773,731.80 and 397,723.20

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Solution

The fourth proportional to 515,821.20, 773,731.80 and 397,723.20 is: 596,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,821.20 : 773,731.80 = 397,723.20 : x
  2. Step 2: Convert to fraction form
    515,821.20/773,731.80 = 397,723.20/x
  3. Step 3: Cross multiply
    515,821.20x = 773,731.80 × 397,723.20
  4. Step 4: Simplify right side
    515,821.20x = 307,731,087,437.76
  5. Step 5: Solve for x
    x = 307,731,087,437.76/515,821.20
  6. Step 6: Final answer
    x = 596,584.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.