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Finding the Fourth Proportional to 416,244.78, 624,296.75 and 116,656.43

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Solution

The fourth proportional to 416,244.78, 624,296.75 and 116,656.43 is: 174,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,244.78 : 624,296.75 = 116,656.43 : x
  2. Step 2: Convert to fraction form
    416,244.78/624,296.75 = 116,656.43/x
  3. Step 3: Cross multiply
    416,244.78x = 624,296.75 × 116,656.43
  4. Step 4: Simplify right side
    416,244.78x = 72,828,226,410.84
  5. Step 5: Solve for x
    x = 72,828,226,410.84/416,244.78
  6. Step 6: Final answer
    x = 174,964.90

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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.