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Finding the Fourth Proportional to 307,422.30, 424,275.39 and 180,204.78

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Solution

The fourth proportional to 307,422.30, 424,275.39 and 180,204.78 is: 248,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,422.30 : 424,275.39 = 180,204.78 : x
  2. Step 2: Convert to fraction form
    307,422.30/424,275.39 = 180,204.78/x
  3. Step 3: Cross multiply
    307,422.30x = 424,275.39 × 180,204.78
  4. Step 4: Simplify right side
    307,422.30x = 76,456,453,314.36
  5. Step 5: Solve for x
    x = 76,456,453,314.36/307,422.30
  6. Step 6: Final answer
    x = 248,701.72

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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.