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Finding the Fourth Proportional to 307,101.68, 458,250.24 and 275,186.51

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Solution

The fourth proportional to 307,101.68, 458,250.24 and 275,186.51 is: 410,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,101.68 : 458,250.24 = 275,186.51 : x
  2. Step 2: Convert to fraction form
    307,101.68/458,250.24 = 275,186.51/x
  3. Step 3: Cross multiply
    307,101.68x = 458,250.24 × 275,186.51
  4. Step 4: Simplify right side
    307,101.68x = 126,104,284,967.17
  5. Step 5: Solve for x
    x = 126,104,284,967.17/307,101.68
  6. Step 6: Final answer
    x = 410,627.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.