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Finding the Fourth Proportional to 415,060.20, 622,359.90 and 165,460.20

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Solution

The fourth proportional to 415,060.20, 622,359.90 and 165,460.20 is: 248,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,060.20 : 622,359.90 = 165,460.20 : x
  2. Step 2: Convert to fraction form
    415,060.20/622,359.90 = 165,460.20/x
  3. Step 3: Cross multiply
    415,060.20x = 622,359.90 × 165,460.20
  4. Step 4: Simplify right side
    415,060.20x = 102,975,793,525.98
  5. Step 5: Solve for x
    x = 102,975,793,525.98/415,060.20
  6. Step 6: Final answer
    x = 248,098.45

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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.