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Finding the Fourth Proportional to 338,793.44, 467,531.70 and 185,828.46

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Solution

The fourth proportional to 338,793.44, 467,531.70 and 185,828.46 is: 256,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,793.44 : 467,531.70 = 185,828.46 : x
  2. Step 2: Convert to fraction form
    338,793.44/467,531.70 = 185,828.46/x
  3. Step 3: Cross multiply
    338,793.44x = 467,531.70 × 185,828.46
  4. Step 4: Simplify right side
    338,793.44x = 86,880,695,812.18
  5. Step 5: Solve for x
    x = 86,880,695,812.18/338,793.44
  6. Step 6: Final answer
    x = 256,441.49

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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.