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Finding the Fourth Proportional to 416,250.78, 624,305.74 and 116,662.43

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Solution

The fourth proportional to 416,250.78, 624,305.74 and 116,662.43 is: 174,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,250.78 : 624,305.74 = 116,662.43 : x
  2. Step 2: Convert to fraction form
    416,250.78/624,305.74 = 116,662.43/x
  3. Step 3: Cross multiply
    416,250.78x = 624,305.74 × 116,662.43
  4. Step 4: Simplify right side
    416,250.78x = 72,833,024,691.35
  5. Step 5: Solve for x
    x = 72,833,024,691.35/416,250.78
  6. Step 6: Final answer
    x = 174,973.91

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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.