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Finding the Fourth Proportional to 475,810.95, 713,711.57 and 160,265.73

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Solution

The fourth proportional to 475,810.95, 713,711.57 and 160,265.73 is: 240,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,810.95 : 713,711.57 = 160,265.73 : x
  2. Step 2: Convert to fraction form
    475,810.95/713,711.57 = 160,265.73/x
  3. Step 3: Cross multiply
    475,810.95x = 713,711.57 × 160,265.73
  4. Step 4: Simplify right side
    475,810.95x = 114,383,504,974.17
  5. Step 5: Solve for x
    x = 114,383,504,974.17/475,810.95
  6. Step 6: Final answer
    x = 240,396.96

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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.