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Finding the Fourth Proportional to 356,113.44, 491,436.96 and 194,969.76

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Solution

The fourth proportional to 356,113.44, 491,436.96 and 194,969.76 is: 269,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,113.44 : 491,436.96 = 194,969.76 : x
  2. Step 2: Convert to fraction form
    356,113.44/491,436.96 = 194,969.76/x
  3. Step 3: Cross multiply
    356,113.44x = 491,436.96 × 194,969.76
  4. Step 4: Simplify right side
    356,113.44x = 95,815,346,146.33
  5. Step 5: Solve for x
    x = 95,815,346,146.33/356,113.44
  6. Step 6: Final answer
    x = 269,058.49

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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.