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Finding the Fourth Proportional to 305,746.63, 458,800.37 and 116,366.44

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Solution

The fourth proportional to 305,746.63, 458,800.37 and 116,366.44 is: 174,618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,746.63 : 458,800.37 = 116,366.44 : x
  2. Step 2: Convert to fraction form
    305,746.63/458,800.37 = 116,366.44/x
  3. Step 3: Cross multiply
    305,746.63x = 458,800.37 × 116,366.44
  4. Step 4: Simplify right side
    305,746.63x = 53,388,965,727.58
  5. Step 5: Solve for x
    x = 53,388,965,727.58/305,746.63
  6. Step 6: Final answer
    x = 174,618.33

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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.