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Finding the Fourth Proportional to 307,509.72, 424,145.34 and 199,881.24

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Solution

The fourth proportional to 307,509.72, 424,145.34 and 199,881.24 is: 275,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,509.72 : 424,145.34 = 199,881.24 : x
  2. Step 2: Convert to fraction form
    307,509.72/424,145.34 = 199,881.24/x
  3. Step 3: Cross multiply
    307,509.72x = 424,145.34 × 199,881.24
  4. Step 4: Simplify right side
    307,509.72x = 84,778,696,499.42
  5. Step 5: Solve for x
    x = 84,778,696,499.42/307,509.72
  6. Step 6: Final answer
    x = 275,694.36

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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.