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Finding the Fourth Proportional to 475,576.86, 713,157.84 and 179,881.50

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Solution

The fourth proportional to 475,576.86, 713,157.84 and 179,881.50 is: 269,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,576.86 : 713,157.84 = 179,881.50 : x
  2. Step 2: Convert to fraction form
    475,576.86/713,157.84 = 179,881.50/x
  3. Step 3: Cross multiply
    475,576.86x = 713,157.84 × 179,881.50
  4. Step 4: Simplify right side
    475,576.86x = 128,283,901,995.96
  5. Step 5: Solve for x
    x = 128,283,901,995.96/475,576.86
  6. Step 6: Final answer
    x = 269,743.78

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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.