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Finding the Fourth Proportional to 475,611.30, 712,970.24 and 159,847.38

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Solution

The fourth proportional to 475,611.30, 712,970.24 and 159,847.38 is: 239,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,611.30 : 712,970.24 = 159,847.38 : x
  2. Step 2: Convert to fraction form
    475,611.30/712,970.24 = 159,847.38/x
  3. Step 3: Cross multiply
    475,611.30x = 712,970.24 × 159,847.38
  4. Step 4: Simplify right side
    475,611.30x = 113,966,424,082.73
  5. Step 5: Solve for x
    x = 113,966,424,082.73/475,611.30
  6. Step 6: Final answer
    x = 239,620.93

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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.