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Finding the Fourth Proportional to 442,478.46, 663,644.25 and 189,799.50

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Solution

The fourth proportional to 442,478.46, 663,644.25 and 189,799.50 is: 284,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,478.46 : 663,644.25 = 189,799.50 : x
  2. Step 2: Convert to fraction form
    442,478.46/663,644.25 = 189,799.50/x
  3. Step 3: Cross multiply
    442,478.46x = 663,644.25 × 189,799.50
  4. Step 4: Simplify right side
    442,478.46x = 125,959,346,827.88
  5. Step 5: Solve for x
    x = 125,959,346,827.88/442,478.46
  6. Step 6: Final answer
    x = 284,667.75

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