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Finding the Fourth Proportional to 293,473.92, 440,276.16 and 106,481.28

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Solution

The fourth proportional to 293,473.92, 440,276.16 and 106,481.28 is: 159,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,473.92 : 440,276.16 = 106,481.28 : x
  2. Step 2: Convert to fraction form
    293,473.92/440,276.16 = 106,481.28/x
  3. Step 3: Cross multiply
    293,473.92x = 440,276.16 × 106,481.28
  4. Step 4: Simplify right side
    293,473.92x = 46,881,169,070.28
  5. Step 5: Solve for x
    x = 46,881,169,070.28/293,473.92
  6. Step 6: Final answer
    x = 159,745.61

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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.