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Finding the Fourth Proportional to 293,200.44, 404,582.46 and 164,145.98

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Solution

The fourth proportional to 293,200.44, 404,582.46 and 164,145.98 is: 226,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,200.44 : 404,582.46 = 164,145.98 : x
  2. Step 2: Convert to fraction form
    293,200.44/404,582.46 = 164,145.98/x
  3. Step 3: Cross multiply
    293,200.44x = 404,582.46 × 164,145.98
  4. Step 4: Simplify right side
    293,200.44x = 66,410,584,387.51
  5. Step 5: Solve for x
    x = 66,410,584,387.51/293,200.44
  6. Step 6: Final answer
    x = 226,502.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.