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Finding the Fourth Proportional to 475,579.86, 713,162.34 and 179,884.50

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Solution

The fourth proportional to 475,579.86, 713,162.34 and 179,884.50 is: 269,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,579.86 : 713,162.34 = 179,884.50 : x
  2. Step 2: Convert to fraction form
    475,579.86/713,162.34 = 179,884.50/x
  3. Step 3: Cross multiply
    475,579.86x = 713,162.34 × 179,884.50
  4. Step 4: Simplify right side
    475,579.86x = 128,286,850,949.73
  5. Step 5: Solve for x
    x = 128,286,850,949.73/475,579.86
  6. Step 6: Final answer
    x = 269,748.28

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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.