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Finding the Fourth Proportional to 314,736.24, 472,243.92 and 164,940.92

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Solution

The fourth proportional to 314,736.24, 472,243.92 and 164,940.92 is: 247,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,736.24 : 472,243.92 = 164,940.92 : x
  2. Step 2: Convert to fraction form
    314,736.24/472,243.92 = 164,940.92/x
  3. Step 3: Cross multiply
    314,736.24x = 472,243.92 × 164,940.92
  4. Step 4: Simplify right side
    314,736.24x = 77,892,346,629.21
  5. Step 5: Solve for x
    x = 77,892,346,629.21/314,736.24
  6. Step 6: Final answer
    x = 247,484.52

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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.