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Finding the Fourth Proportional to 475,873.75, 713,997.54 and 209,447.49

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Solution

The fourth proportional to 475,873.75, 713,997.54 and 209,447.49 is: 314,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,873.75 : 713,997.54 = 209,447.49 : x
  2. Step 2: Convert to fraction form
    475,873.75/713,997.54 = 209,447.49/x
  3. Step 3: Cross multiply
    475,873.75x = 713,997.54 × 209,447.49
  4. Step 4: Simplify right side
    475,873.75x = 149,544,989,049.19
  5. Step 5: Solve for x
    x = 149,544,989,049.19/475,873.75
  6. Step 6: Final answer
    x = 314,253.49

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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.