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Finding the Fourth Proportional to 511,821.20, 767,731.80 and 393,723.20

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Solution

The fourth proportional to 511,821.20, 767,731.80 and 393,723.20 is: 590,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,821.20 : 767,731.80 = 393,723.20 : x
  2. Step 2: Convert to fraction form
    511,821.20/767,731.80 = 393,723.20/x
  3. Step 3: Cross multiply
    511,821.20x = 767,731.80 × 393,723.20
  4. Step 4: Simplify right side
    511,821.20x = 302,273,821,037.76
  5. Step 5: Solve for x
    x = 302,273,821,037.76/511,821.20
  6. Step 6: Final answer
    x = 590,584.80

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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.