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Finding the Fourth Proportional to 471,893.34, 651,355.11 and 321,077.82

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Solution

The fourth proportional to 471,893.34, 651,355.11 and 321,077.82 is: 443,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,893.34 : 651,355.11 = 321,077.82 : x
  2. Step 2: Convert to fraction form
    471,893.34/651,355.11 = 321,077.82/x
  3. Step 3: Cross multiply
    471,893.34x = 651,355.11 × 321,077.82
  4. Step 4: Simplify right side
    471,893.34x = 209,135,678,764.66
  5. Step 5: Solve for x
    x = 209,135,678,764.66/471,893.34
  6. Step 6: Final answer
    x = 443,184.21

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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.