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Finding the Fourth Proportional to 415,096.35, 622,644.98 and 115,577.58

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Solution

The fourth proportional to 415,096.35, 622,644.98 and 115,577.58 is: 173,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,096.35 : 622,644.98 = 115,577.58 : x
  2. Step 2: Convert to fraction form
    415,096.35/622,644.98 = 115,577.58/x
  3. Step 3: Cross multiply
    415,096.35x = 622,644.98 × 115,577.58
  4. Step 4: Simplify right side
    415,096.35x = 71,963,801,744.58
  5. Step 5: Solve for x
    x = 71,963,801,744.58/415,096.35
  6. Step 6: Final answer
    x = 173,366.50

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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.