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Finding the Fourth Proportional to 415,342.20, 622,782.90 and 165,742.20

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Solution

The fourth proportional to 415,342.20, 622,782.90 and 165,742.20 is: 248,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,342.20 : 622,782.90 = 165,742.20 : x
  2. Step 2: Convert to fraction form
    415,342.20/622,782.90 = 165,742.20/x
  3. Step 3: Cross multiply
    415,342.20x = 622,782.90 × 165,742.20
  4. Step 4: Simplify right side
    415,342.20x = 103,221,407,968.38
  5. Step 5: Solve for x
    x = 103,221,407,968.38/415,342.20
  6. Step 6: Final answer
    x = 248,521.36

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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.