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Finding the Fourth Proportional to 307,539.30, 424,445.85 and 180,265.86

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Solution

The fourth proportional to 307,539.30, 424,445.85 and 180,265.86 is: 248,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,539.30 : 424,445.85 = 180,265.86 : x
  2. Step 2: Convert to fraction form
    307,539.30/424,445.85 = 180,265.86/x
  3. Step 3: Cross multiply
    307,539.30x = 424,445.85 × 180,265.86
  4. Step 4: Simplify right side
    307,539.30x = 76,513,096,173.68
  5. Step 5: Solve for x
    x = 76,513,096,173.68/307,539.30
  6. Step 6: Final answer
    x = 248,791.28

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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.