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Finding the Fourth Proportional to 416,007.18, 624,103.92 and 131,714.64

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Solution

The fourth proportional to 416,007.18, 624,103.92 and 131,714.64 is: 197,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,007.18 : 624,103.92 = 131,714.64 : x
  2. Step 2: Convert to fraction form
    416,007.18/624,103.92 = 131,714.64/x
  3. Step 3: Cross multiply
    416,007.18x = 624,103.92 × 131,714.64
  4. Step 4: Simplify right side
    416,007.18x = 82,203,623,145.39
  5. Step 5: Solve for x
    x = 82,203,623,145.39/416,007.18
  6. Step 6: Final answer
    x = 197,601.45

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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.