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Finding the Fourth Proportional to 416,562.44, 624,714.48 and 150,288.36

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Solution

The fourth proportional to 416,562.44, 624,714.48 and 150,288.36 is: 225,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,562.44 : 624,714.48 = 150,288.36 : x
  2. Step 2: Convert to fraction form
    416,562.44/624,714.48 = 150,288.36/x
  3. Step 3: Cross multiply
    416,562.44x = 624,714.48 × 150,288.36
  4. Step 4: Simplify right side
    416,562.44x = 93,887,314,667.45
  5. Step 5: Solve for x
    x = 93,887,314,667.45/416,562.44
  6. Step 6: Final answer
    x = 225,385.93

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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.