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Finding the Fourth Proportional to 337,561.78, 465,834.09 and 186,658.78

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Solution

The fourth proportional to 337,561.78, 465,834.09 and 186,658.78 is: 257,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,561.78 : 465,834.09 = 186,658.78 : x
  2. Step 2: Convert to fraction form
    337,561.78/465,834.09 = 186,658.78/x
  3. Step 3: Cross multiply
    337,561.78x = 465,834.09 × 186,658.78
  4. Step 4: Simplify right side
    337,561.78x = 86,952,022,921.81
  5. Step 5: Solve for x
    x = 86,952,022,921.81/337,561.78
  6. Step 6: Final answer
    x = 257,588.47

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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.