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Finding the Fourth Proportional to 493,653.40, 739,961.70 and 194,018.20

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Solution

The fourth proportional to 493,653.40, 739,961.70 and 194,018.20 is: 290,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,653.40 : 739,961.70 = 194,018.20 : x
  2. Step 2: Convert to fraction form
    493,653.40/739,961.70 = 194,018.20/x
  3. Step 3: Cross multiply
    493,653.40x = 739,961.70 × 194,018.20
  4. Step 4: Simplify right side
    493,653.40x = 143,566,037,102.94
  5. Step 5: Solve for x
    x = 143,566,037,102.94/493,653.40
  6. Step 6: Final answer
    x = 290,823.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.