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Finding the Fourth Proportional to 368,960.67, 509,214.60 and 207,847.62

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Solution

The fourth proportional to 368,960.67, 509,214.60 and 207,847.62 is: 286,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,960.67 : 509,214.60 = 207,847.62 : x
  2. Step 2: Convert to fraction form
    368,960.67/509,214.60 = 207,847.62/x
  3. Step 3: Cross multiply
    368,960.67x = 509,214.60 × 207,847.62
  4. Step 4: Simplify right side
    368,960.67x = 105,839,042,679.25
  5. Step 5: Solve for x
    x = 105,839,042,679.25/368,960.67
  6. Step 6: Final answer
    x = 286,857.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.