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Finding the Fourth Proportional to 307,752.96, 462,441.27 and 165,703.26

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Solution

The fourth proportional to 307,752.96, 462,441.27 and 165,703.26 is: 248,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,752.96 : 462,441.27 = 165,703.26 : x
  2. Step 2: Convert to fraction form
    307,752.96/462,441.27 = 165,703.26/x
  3. Step 3: Cross multiply
    307,752.96x = 462,441.27 × 165,703.26
  4. Step 4: Simplify right side
    307,752.96x = 76,628,025,997.54
  5. Step 5: Solve for x
    x = 76,628,025,997.54/307,752.96
  6. Step 6: Final answer
    x = 248,992.00

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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.