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Finding the Fourth Proportional to 413,562.60, 620,343.90 and 164,244.60

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Solution

The fourth proportional to 413,562.60, 620,343.90 and 164,244.60 is: 246,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,562.60 : 620,343.90 = 164,244.60 : x
  2. Step 2: Convert to fraction form
    413,562.60/620,343.90 = 164,244.60/x
  3. Step 3: Cross multiply
    413,562.60x = 620,343.90 × 164,244.60
  4. Step 4: Simplify right side
    413,562.60x = 101,888,135,717.94
  5. Step 5: Solve for x
    x = 101,888,135,717.94/413,562.60
  6. Step 6: Final answer
    x = 246,366.90

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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.