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Finding the Fourth Proportional to 475,493.37, 713,242.88 and 120,508.44

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Solution

The fourth proportional to 475,493.37, 713,242.88 and 120,508.44 is: 180,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,493.37 : 713,242.88 = 120,508.44 : x
  2. Step 2: Convert to fraction form
    475,493.37/713,242.88 = 120,508.44/x
  3. Step 3: Cross multiply
    475,493.37x = 713,242.88 × 120,508.44
  4. Step 4: Simplify right side
    475,493.37x = 85,951,786,809.91
  5. Step 5: Solve for x
    x = 85,951,786,809.91/475,493.37
  6. Step 6: Final answer
    x = 180,763.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.