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Finding the Fourth Proportional to 337,006, 505,897.80 and 171,143.92

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Solution

The fourth proportional to 337,006, 505,897.80 and 171,143.92 is: 256,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,006 : 505,897.80 = 171,143.92 : x
  2. Step 2: Convert to fraction form
    337,006/505,897.80 = 171,143.92/x
  3. Step 3: Cross multiply
    337,006x = 505,897.80 × 171,143.92
  4. Step 4: Simplify right side
    337,006x = 86,581,332,611.38
  5. Step 5: Solve for x
    x = 86,581,332,611.38/337,006
  6. Step 6: Final answer
    x = 256,913.33

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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.