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Finding the Fourth Proportional to 307,446.98, 458,114.00 and 273,909.33

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Solution

The fourth proportional to 307,446.98, 458,114.00 and 273,909.33 is: 408,140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,446.98 : 458,114.00 = 273,909.33 : x
  2. Step 2: Convert to fraction form
    307,446.98/458,114.00 = 273,909.33/x
  3. Step 3: Cross multiply
    307,446.98x = 458,114.00 × 273,909.33
  4. Step 4: Simplify right side
    307,446.98x = 125,481,697,434.07
  5. Step 5: Solve for x
    x = 125,481,697,434.07/307,446.98
  6. Step 6: Final answer
    x = 408,140.94

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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.