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Finding the Fourth Proportional to 307,064.47, 460,596.71 and 119,944.75

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Solution

The fourth proportional to 307,064.47, 460,596.71 and 119,944.75 is: 179,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,064.47 : 460,596.71 = 119,944.75 : x
  2. Step 2: Convert to fraction form
    307,064.47/460,596.71 = 119,944.75/x
  3. Step 3: Cross multiply
    307,064.47x = 460,596.71 × 119,944.75
  4. Step 4: Simplify right side
    307,064.47x = 55,246,157,231.77
  5. Step 5: Solve for x
    x = 55,246,157,231.77/307,064.47
  6. Step 6: Final answer
    x = 179,917.13

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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.