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Finding the Fourth Proportional to 416,252.78, 624,308.74 and 116,664.42

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Solution

The fourth proportional to 416,252.78, 624,308.74 and 116,664.42 is: 174,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,252.78 : 624,308.74 = 116,664.42 : x
  2. Step 2: Convert to fraction form
    416,252.78/624,308.74 = 116,664.42/x
  3. Step 3: Cross multiply
    416,252.78x = 624,308.74 × 116,664.42
  4. Step 4: Simplify right side
    416,252.78x = 72,834,617,053.03
  5. Step 5: Solve for x
    x = 72,834,617,053.03/416,252.78
  6. Step 6: Final answer
    x = 174,976.89

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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.