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Finding the Fourth Proportional to 307,440.84, 460,880.46 and 107,652

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Solution

The fourth proportional to 307,440.84, 460,880.46 and 107,652 is: 161,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,440.84 : 460,880.46 = 107,652 : x
  2. Step 2: Convert to fraction form
    307,440.84/460,880.46 = 107,652/x
  3. Step 3: Cross multiply
    307,440.84x = 460,880.46 × 107,652
  4. Step 4: Simplify right side
    307,440.84x = 49,614,703,279.92
  5. Step 5: Solve for x
    x = 49,614,703,279.92/307,440.84
  6. Step 6: Final answer
    x = 161,379.68

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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.