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Finding the Fourth Proportional to 307,156.54, 460,797.45 and 174,096.22

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Solution

The fourth proportional to 307,156.54, 460,797.45 and 174,096.22 is: 261,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,156.54 : 460,797.45 = 174,096.22 : x
  2. Step 2: Convert to fraction form
    307,156.54/460,797.45 = 174,096.22/x
  3. Step 3: Cross multiply
    307,156.54x = 460,797.45 × 174,096.22
  4. Step 4: Simplify right side
    307,156.54x = 80,223,094,230.64
  5. Step 5: Solve for x
    x = 80,223,094,230.64/307,156.54
  6. Step 6: Final answer
    x = 261,179.83

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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.