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Finding the Fourth Proportional to 475,580.86, 713,163.84 and 179,885.50

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Solution

The fourth proportional to 475,580.86, 713,163.84 and 179,885.50 is: 269,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,580.86 : 713,163.84 = 179,885.50 : x
  2. Step 2: Convert to fraction form
    475,580.86/713,163.84 = 179,885.50/x
  3. Step 3: Cross multiply
    475,580.86x = 713,163.84 × 179,885.50
  4. Step 4: Simplify right side
    475,580.86x = 128,287,833,940.32
  5. Step 5: Solve for x
    x = 128,287,833,940.32/475,580.86
  6. Step 6: Final answer
    x = 269,749.78

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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.