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Finding the Fourth Proportional to 356,114.50, 491,437.79 and 194,969.51

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Solution

The fourth proportional to 356,114.50, 491,437.79 and 194,969.51 is: 269,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,114.50 : 491,437.79 = 194,969.51 : x
  2. Step 2: Convert to fraction form
    356,114.50/491,437.79 = 194,969.51/x
  3. Step 3: Cross multiply
    356,114.50x = 491,437.79 × 194,969.51
  4. Step 4: Simplify right side
    356,114.50x = 95,815,381,679.75
  5. Step 5: Solve for x
    x = 95,815,381,679.75/356,114.50
  6. Step 6: Final answer
    x = 269,057.79

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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.