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Finding the Fourth Proportional to 307,963.82, 461,876.07 and 97,486.94

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Solution

The fourth proportional to 307,963.82, 461,876.07 and 97,486.94 is: 146,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,963.82 : 461,876.07 = 97,486.94 : x
  2. Step 2: Convert to fraction form
    307,963.82/461,876.07 = 97,486.94/x
  3. Step 3: Cross multiply
    307,963.82x = 461,876.07 × 97,486.94
  4. Step 4: Simplify right side
    307,963.82x = 45,026,884,723.53
  5. Step 5: Solve for x
    x = 45,026,884,723.53/307,963.82
  6. Step 6: Final answer
    x = 146,208.36

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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.