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Finding the Fourth Proportional to 299,801.96, 413,768.90 and 190,871.51

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Solution

The fourth proportional to 299,801.96, 413,768.90 and 190,871.51 is: 263,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,801.96 : 413,768.90 = 190,871.51 : x
  2. Step 2: Convert to fraction form
    299,801.96/413,768.90 = 190,871.51/x
  3. Step 3: Cross multiply
    299,801.96x = 413,768.90 × 190,871.51
  4. Step 4: Simplify right side
    299,801.96x = 78,976,693,142.37
  5. Step 5: Solve for x
    x = 78,976,693,142.37/299,801.96
  6. Step 6: Final answer
    x = 263,429.55

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1.5x scale

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.