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Finding the Fourth Proportional to 307,729.97, 461,548.78 and 97,340.57

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Solution

The fourth proportional to 307,729.97, 461,548.78 and 97,340.57 is: 145,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,729.97 : 461,548.78 = 97,340.57 : x
  2. Step 2: Convert to fraction form
    307,729.97/461,548.78 = 97,340.57/x
  3. Step 3: Cross multiply
    307,729.97x = 461,548.78 × 97,340.57
  4. Step 4: Simplify right side
    307,729.97x = 44,927,418,533.56
  5. Step 5: Solve for x
    x = 44,927,418,533.56/307,729.97
  6. Step 6: Final answer
    x = 145,996.24

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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.