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Finding the Fourth Proportional to 416,562.43, 624,714.49 and 150,288.34

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Solution

The fourth proportional to 416,562.43, 624,714.49 and 150,288.34 is: 225,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,562.43 : 624,714.49 = 150,288.34 : x
  2. Step 2: Convert to fraction form
    416,562.43/624,714.49 = 150,288.34/x
  3. Step 3: Cross multiply
    416,562.43x = 624,714.49 × 150,288.34
  4. Step 4: Simplify right side
    416,562.43x = 93,887,303,676.05
  5. Step 5: Solve for x
    x = 93,887,303,676.05/416,562.43
  6. Step 6: Final answer
    x = 225,385.91

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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.