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Finding the Fourth Proportional to 338,434.80, 467,007.48 and 202,441.20

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Solution

The fourth proportional to 338,434.80, 467,007.48 and 202,441.20 is: 279,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,434.80 : 467,007.48 = 202,441.20 : x
  2. Step 2: Convert to fraction form
    338,434.80/467,007.48 = 202,441.20/x
  3. Step 3: Cross multiply
    338,434.80x = 467,007.48 × 202,441.20
  4. Step 4: Simplify right side
    338,434.80x = 94,541,554,660.18
  5. Step 5: Solve for x
    x = 94,541,554,660.18/338,434.80
  6. Step 6: Final answer
    x = 279,349.39

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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.