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Finding the Fourth Proportional to 307,076.74, 460,396.98 and 117,377.30

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Solution

The fourth proportional to 307,076.74, 460,396.98 and 117,377.30 is: 175,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,076.74 : 460,396.98 = 117,377.30 : x
  2. Step 2: Convert to fraction form
    307,076.74/460,396.98 = 117,377.30/x
  3. Step 3: Cross multiply
    307,076.74x = 460,396.98 × 117,377.30
  4. Step 4: Simplify right side
    307,076.74x = 54,040,155,591.55
  5. Step 5: Solve for x
    x = 54,040,155,591.55/307,076.74
  6. Step 6: Final answer
    x = 175,982.58

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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.