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Finding the Fourth Proportional to 338,771.90, 467,502.02 and 185,806.97

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Solution

The fourth proportional to 338,771.90, 467,502.02 and 185,806.97 is: 256,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,771.90 : 467,502.02 = 185,806.97 : x
  2. Step 2: Convert to fraction form
    338,771.90/467,502.02 = 185,806.97/x
  3. Step 3: Cross multiply
    338,771.90x = 467,502.02 × 185,806.97
  4. Step 4: Simplify right side
    338,771.90x = 86,865,133,805.08
  5. Step 5: Solve for x
    x = 86,865,133,805.08/338,771.90
  6. Step 6: Final answer
    x = 256,411.86

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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.