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Finding the Fourth Proportional to 416,607.42, 574,488.27 and 356,377.44

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Solution

The fourth proportional to 416,607.42, 574,488.27 and 356,377.44 is: 491,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,607.42 : 574,488.27 = 356,377.44 : x
  2. Step 2: Convert to fraction form
    416,607.42/574,488.27 = 356,377.44/x
  3. Step 3: Cross multiply
    416,607.42x = 574,488.27 × 356,377.44
  4. Step 4: Simplify right side
    416,607.42x = 204,734,658,972.63
  5. Step 5: Solve for x
    x = 204,734,658,972.63/416,607.42
  6. Step 6: Final answer
    x = 491,433.06

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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.