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Finding the Fourth Proportional to 299,795.87, 413,898.50 and 186,771.71

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Solution

The fourth proportional to 299,795.87, 413,898.50 and 186,771.71 is: 257,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,795.87 : 413,898.50 = 186,771.71 : x
  2. Step 2: Convert to fraction form
    299,795.87/413,898.50 = 186,771.71/x
  3. Step 3: Cross multiply
    299,795.87x = 413,898.50 × 186,771.71
  4. Step 4: Simplify right side
    299,795.87x = 77,304,529,008.87
  5. Step 5: Solve for x
    x = 77,304,529,008.87/299,795.87
  6. Step 6: Final answer
    x = 257,857.22

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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.