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Finding the Fourth Proportional to 307,466.49, 461,288.97 and 127,518.92

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Solution

The fourth proportional to 307,466.49, 461,288.97 and 127,518.92 is: 191,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,466.49 : 461,288.97 = 127,518.92 : x
  2. Step 2: Convert to fraction form
    307,466.49/461,288.97 = 127,518.92/x
  3. Step 3: Cross multiply
    307,466.49x = 461,288.97 × 127,518.92
  4. Step 4: Simplify right side
    307,466.49x = 58,823,068,955.87
  5. Step 5: Solve for x
    x = 58,823,068,955.87/307,466.49
  6. Step 6: Final answer
    x = 191,315.38

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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.