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Finding the Fourth Proportional to 416,340.74, 574,396.37 and 273,295.14

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Solution

The fourth proportional to 416,340.74, 574,396.37 and 273,295.14 is: 377,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,340.74 : 574,396.37 = 273,295.14 : x
  2. Step 2: Convert to fraction form
    416,340.74/574,396.37 = 273,295.14/x
  3. Step 3: Cross multiply
    416,340.74x = 574,396.37 × 273,295.14
  4. Step 4: Simplify right side
    416,340.74x = 156,979,736,354.64
  5. Step 5: Solve for x
    x = 156,979,736,354.64/416,340.74
  6. Step 6: Final answer
    x = 377,046.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.