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Finding the Fourth Proportional to 307,743.30, 424,177.34 and 205,731.49

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Solution

The fourth proportional to 307,743.30, 424,177.34 and 205,731.49 is: 283,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,743.30 : 424,177.34 = 205,731.49 : x
  2. Step 2: Convert to fraction form
    307,743.30/424,177.34 = 205,731.49/x
  3. Step 3: Cross multiply
    307,743.30x = 424,177.34 × 205,731.49
  4. Step 4: Simplify right side
    307,743.30x = 87,266,636,182.44
  5. Step 5: Solve for x
    x = 87,266,636,182.44/307,743.30
  6. Step 6: Final answer
    x = 283,569.57

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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.