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Finding the Fourth Proportional to 300,744.06, 415,026.78 and 164,783.16

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Solution

The fourth proportional to 300,744.06, 415,026.78 and 164,783.16 is: 227,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,744.06 : 415,026.78 = 164,783.16 : x
  2. Step 2: Convert to fraction form
    300,744.06/415,026.78 = 164,783.16/x
  3. Step 3: Cross multiply
    300,744.06x = 415,026.78 × 164,783.16
  4. Step 4: Simplify right side
    300,744.06x = 68,389,424,293.02
  5. Step 5: Solve for x
    x = 68,389,424,293.02/300,744.06
  6. Step 6: Final answer
    x = 227,400.75

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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.