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Finding the Fourth Proportional to 307,408.49, 458,056.76 and 273,870.84

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Solution

The fourth proportional to 307,408.49, 458,056.76 and 273,870.84 is: 408,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,408.49 : 458,056.76 = 273,870.84 : x
  2. Step 2: Convert to fraction form
    307,408.49/458,056.76 = 273,870.84/x
  3. Step 3: Cross multiply
    307,408.49x = 458,056.76 × 273,870.84
  4. Step 4: Simplify right side
    307,408.49x = 125,448,389,628.88
  5. Step 5: Solve for x
    x = 125,448,389,628.88/307,408.49
  6. Step 6: Final answer
    x = 408,083.69

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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.