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Finding the Fourth Proportional to 442,198.98, 663,298.47 and 109,774.98

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Solution

The fourth proportional to 442,198.98, 663,298.47 and 109,774.98 is: 164,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,198.98 : 663,298.47 = 109,774.98 : x
  2. Step 2: Convert to fraction form
    442,198.98/663,298.47 = 109,774.98/x
  3. Step 3: Cross multiply
    442,198.98x = 663,298.47 × 109,774.98
  4. Step 4: Simplify right side
    442,198.98x = 72,813,576,278.28
  5. Step 5: Solve for x
    x = 72,813,576,278.28/442,198.98
  6. Step 6: Final answer
    x = 164,662.47

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Similar ratio
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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.