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Finding the Fourth Proportional to 476,672.34, 657,813.24 and 261,817.44

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Solution

The fourth proportional to 476,672.34, 657,813.24 and 261,817.44 is: 361,311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,672.34 : 657,813.24 = 261,817.44 : x
  2. Step 2: Convert to fraction form
    476,672.34/657,813.24 = 261,817.44/x
  3. Step 3: Cross multiply
    476,672.34x = 657,813.24 × 261,817.44
  4. Step 4: Simplify right side
    476,672.34x = 172,226,978,494.91
  5. Step 5: Solve for x
    x = 172,226,978,494.91/476,672.34
  6. Step 6: Final answer
    x = 361,311.04

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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.