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Finding the Fourth Proportional to 338,947.20, 467,726.40 and 185,954.40

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Solution

The fourth proportional to 338,947.20, 467,726.40 and 185,954.40 is: 256,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,947.20 : 467,726.40 = 185,954.40 : x
  2. Step 2: Convert to fraction form
    338,947.20/467,726.40 = 185,954.40/x
  3. Step 3: Cross multiply
    338,947.20x = 467,726.40 × 185,954.40
  4. Step 4: Simplify right side
    338,947.20x = 86,975,782,076.16
  5. Step 5: Solve for x
    x = 86,975,782,076.16/338,947.20
  6. Step 6: Final answer
    x = 256,605.70

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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.