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Finding the Fourth Proportional to 475,811.20, 713,711.94 and 160,265.98

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Solution

The fourth proportional to 475,811.20, 713,711.94 and 160,265.98 is: 240,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,811.20 : 713,711.94 = 160,265.98 : x
  2. Step 2: Convert to fraction form
    475,811.20/713,711.94 = 160,265.98/x
  3. Step 3: Cross multiply
    475,811.20x = 713,711.94 × 160,265.98
  4. Step 4: Simplify right side
    475,811.20x = 114,383,743,501.80
  5. Step 5: Solve for x
    x = 114,383,743,501.80/475,811.20
  6. Step 6: Final answer
    x = 240,397.33

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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.