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Finding the Fourth Proportional to 309,563.88, 427,017.16 and 194,660.68

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Solution

The fourth proportional to 309,563.88, 427,017.16 and 194,660.68 is: 268,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,563.88 : 427,017.16 = 194,660.68 : x
  2. Step 2: Convert to fraction form
    309,563.88/427,017.16 = 194,660.68/x
  3. Step 3: Cross multiply
    309,563.88x = 427,017.16 × 194,660.68
  4. Step 4: Simplify right side
    309,563.88x = 83,123,450,737.27
  5. Step 5: Solve for x
    x = 83,123,450,737.27/309,563.88
  6. Step 6: Final answer
    x = 268,517.93

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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.