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Finding the Fourth Proportional to 309,592.14, 427,212.27 and 171,775.50

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Solution

The fourth proportional to 309,592.14, 427,212.27 and 171,775.50 is: 237,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,592.14 : 427,212.27 = 171,775.50 : x
  2. Step 2: Convert to fraction form
    309,592.14/427,212.27 = 171,775.50/x
  3. Step 3: Cross multiply
    309,592.14x = 427,212.27 × 171,775.50
  4. Step 4: Simplify right side
    309,592.14x = 73,384,601,285.39
  5. Step 5: Solve for x
    x = 73,384,601,285.39/309,592.14
  6. Step 6: Final answer
    x = 237,036.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.