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Finding the Fourth Proportional to 307,039.60, 460,495.97 and 82,346.63

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Solution

The fourth proportional to 307,039.60, 460,495.97 and 82,346.63 is: 123,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,039.60 : 460,495.97 = 82,346.63 : x
  2. Step 2: Convert to fraction form
    307,039.60/460,495.97 = 82,346.63/x
  3. Step 3: Cross multiply
    307,039.60x = 460,495.97 × 82,346.63
  4. Step 4: Simplify right side
    307,039.60x = 37,920,289,200.07
  5. Step 5: Solve for x
    x = 37,920,289,200.07/307,039.60
  6. Step 6: Final answer
    x = 123,502.93

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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.