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Finding the Fourth Proportional to 307,957.11, 461,945.39 and 97,596.87

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Solution

The fourth proportional to 307,957.11, 461,945.39 and 97,596.87 is: 146,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,957.11 : 461,945.39 = 97,596.87 : x
  2. Step 2: Convert to fraction form
    307,957.11/461,945.39 = 97,596.87/x
  3. Step 3: Cross multiply
    307,957.11x = 461,945.39 × 97,596.87
  4. Step 4: Simplify right side
    307,957.11x = 45,084,424,174.93
  5. Step 5: Solve for x
    x = 45,084,424,174.93/307,957.11
  6. Step 6: Final answer
    x = 146,398.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.