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Finding the Fourth Proportional to 462,097.50, 693,225.06 and 206,022.99

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Solution

The fourth proportional to 462,097.50, 693,225.06 and 206,022.99 is: 309,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,097.50 : 693,225.06 = 206,022.99 : x
  2. Step 2: Convert to fraction form
    462,097.50/693,225.06 = 206,022.99/x
  3. Step 3: Cross multiply
    462,097.50x = 693,225.06 × 206,022.99
  4. Step 4: Simplify right side
    462,097.50x = 142,820,299,604.13
  5. Step 5: Solve for x
    x = 142,820,299,604.13/462,097.50
  6. Step 6: Final answer
    x = 309,069.62

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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.