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Finding the Fourth Proportional to 567,055.20, 782,538.10 and 312,405.78

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Solution

The fourth proportional to 567,055.20, 782,538.10 and 312,405.78 is: 431,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,055.20 : 782,538.10 = 312,405.78 : x
  2. Step 2: Convert to fraction form
    567,055.20/782,538.10 = 312,405.78/x
  3. Step 3: Cross multiply
    567,055.20x = 782,538.10 × 312,405.78
  4. Step 4: Simplify right side
    567,055.20x = 244,469,425,510.22
  5. Step 5: Solve for x
    x = 244,469,425,510.22/567,055.20
  6. Step 6: Final answer
    x = 431,121.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.