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Finding the Fourth Proportional to 416,115.60, 624,389.40 and 194,499.60

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Solution

The fourth proportional to 416,115.60, 624,389.40 and 194,499.60 is: 291,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,115.60 : 624,389.40 = 194,499.60 : x
  2. Step 2: Convert to fraction form
    416,115.60/624,389.40 = 194,499.60/x
  3. Step 3: Cross multiply
    416,115.60x = 624,389.40 × 194,499.60
  4. Step 4: Simplify right side
    416,115.60x = 121,443,488,544.24
  5. Step 5: Solve for x
    x = 121,443,488,544.24/416,115.60
  6. Step 6: Final answer
    x = 291,850.36

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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.