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Finding the Fourth Proportional to 416,614.42, 574,497.93 and 356,384.44

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Solution

The fourth proportional to 416,614.42, 574,497.93 and 356,384.44 is: 491,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,614.42 : 574,497.93 = 356,384.44 : x
  2. Step 2: Convert to fraction form
    416,614.42/574,497.93 = 356,384.44/x
  3. Step 3: Cross multiply
    416,614.42x = 574,497.93 × 356,384.44
  4. Step 4: Simplify right side
    416,614.42x = 204,742,123,064.21
  5. Step 5: Solve for x
    x = 204,742,123,064.21/416,614.42
  6. Step 6: Final answer
    x = 491,442.72

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