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Finding the Fourth Proportional to 416,499.53, 574,339.75 and 356,269.55

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Solution

The fourth proportional to 416,499.53, 574,339.75 and 356,269.55 is: 491,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,499.53 : 574,339.75 = 356,269.55 : x
  2. Step 2: Convert to fraction form
    416,499.53/574,339.75 = 356,269.55/x
  3. Step 3: Cross multiply
    416,499.53x = 574,339.75 × 356,269.55
  4. Step 4: Simplify right side
    416,499.53x = 204,619,760,517.24
  5. Step 5: Solve for x
    x = 204,619,760,517.24/416,499.53
  6. Step 6: Final answer
    x = 491,284.50

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1.5x scale

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.