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Finding the Fourth Proportional to 312,541.51, 431,219.76 and 196,267.51

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Solution

The fourth proportional to 312,541.51, 431,219.76 and 196,267.51 is: 270,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,541.51 : 431,219.76 = 196,267.51 : x
  2. Step 2: Convert to fraction form
    312,541.51/431,219.76 = 196,267.51/x
  3. Step 3: Cross multiply
    312,541.51x = 431,219.76 × 196,267.51
  4. Step 4: Simplify right side
    312,541.51x = 84,634,428,215.95
  5. Step 5: Solve for x
    x = 84,634,428,215.95/312,541.51
  6. Step 6: Final answer
    x = 270,794.20

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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.