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Finding the Fourth Proportional to 417,640.56, 626,460.84 and 102,096.96

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Solution

The fourth proportional to 417,640.56, 626,460.84 and 102,096.96 is: 153,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,640.56 : 626,460.84 = 102,096.96 : x
  2. Step 2: Convert to fraction form
    417,640.56/626,460.84 = 102,096.96/x
  3. Step 3: Cross multiply
    417,640.56x = 626,460.84 × 102,096.96
  4. Step 4: Simplify right side
    417,640.56x = 63,959,747,323.05
  5. Step 5: Solve for x
    x = 63,959,747,323.05/417,640.56
  6. Step 6: Final answer
    x = 153,145.44

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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.