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Finding the Fourth Proportional to 307,456.97, 461,037.83 and 174,301.47

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Solution

The fourth proportional to 307,456.97, 461,037.83 and 174,301.47 is: 261,368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,456.97 : 461,037.83 = 174,301.47 : x
  2. Step 2: Convert to fraction form
    307,456.97/461,037.83 = 174,301.47/x
  3. Step 3: Cross multiply
    307,456.97x = 461,037.83 × 174,301.47
  4. Step 4: Simplify right side
    307,456.97x = 80,359,570,623.10
  5. Step 5: Solve for x
    x = 80,359,570,623.10/307,456.97
  6. Step 6: Final answer
    x = 261,368.52

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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.