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Finding the Fourth Proportional to 301,938.39, 416,767.82 and 194,508.09

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Solution

The fourth proportional to 301,938.39, 416,767.82 and 194,508.09 is: 268,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,938.39 : 416,767.82 = 194,508.09 : x
  2. Step 2: Convert to fraction form
    301,938.39/416,767.82 = 194,508.09/x
  3. Step 3: Cross multiply
    301,938.39x = 416,767.82 × 194,508.09
  4. Step 4: Simplify right side
    301,938.39x = 81,064,711,669.12
  5. Step 5: Solve for x
    x = 81,064,711,669.12/301,938.39
  6. Step 6: Final answer
    x = 268,480.97

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1.5x scale

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.