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Finding the Fourth Proportional to 416,253.78, 624,310.24 and 116,665.42

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Solution

The fourth proportional to 416,253.78, 624,310.24 and 116,665.42 is: 174,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,253.78 : 624,310.24 = 116,665.42 : x
  2. Step 2: Convert to fraction form
    416,253.78/624,310.24 = 116,665.42/x
  3. Step 3: Cross multiply
    416,253.78x = 624,310.24 × 116,665.42
  4. Step 4: Simplify right side
    416,253.78x = 72,835,416,359.90
  5. Step 5: Solve for x
    x = 72,835,416,359.90/416,253.78
  6. Step 6: Final answer
    x = 174,978.39

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1.5x scale

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.