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Finding the Fourth Proportional to 337,013, 505,908.32 and 171,150.92

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Solution

The fourth proportional to 337,013, 505,908.32 and 171,150.92 is: 256,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,013 : 505,908.32 = 171,150.92 : x
  2. Step 2: Convert to fraction form
    337,013/505,908.32 = 171,150.92/x
  3. Step 3: Cross multiply
    337,013x = 505,908.32 × 171,150.92
  4. Step 4: Simplify right side
    337,013x = 86,586,674,403.65
  5. Step 5: Solve for x
    x = 86,586,674,403.65/337,013
  6. Step 6: Final answer
    x = 256,923.84

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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.