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Finding the Fourth Proportional to 475,492.37, 713,241.38 and 120,507.44

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Solution

The fourth proportional to 475,492.37, 713,241.38 and 120,507.44 is: 180,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,492.37 : 713,241.38 = 120,507.44 : x
  2. Step 2: Convert to fraction form
    475,492.37/713,241.38 = 120,507.44/x
  3. Step 3: Cross multiply
    475,492.37x = 713,241.38 × 120,507.44
  4. Step 4: Simplify right side
    475,492.37x = 85,950,888,637.12
  5. Step 5: Solve for x
    x = 85,950,888,637.12/475,492.37
  6. Step 6: Final answer
    x = 180,761.87

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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.