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Finding the Fourth Proportional to 308,402.40, 461,912.40 and 183,986.40

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Solution

The fourth proportional to 308,402.40, 461,912.40 and 183,986.40 is: 275,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,402.40 : 461,912.40 = 183,986.40 : x
  2. Step 2: Convert to fraction form
    308,402.40/461,912.40 = 183,986.40/x
  3. Step 3: Cross multiply
    308,402.40x = 461,912.40 × 183,986.40
  4. Step 4: Simplify right side
    308,402.40x = 84,985,599,591.36
  5. Step 5: Solve for x
    x = 84,985,599,591.36/308,402.40
  6. Step 6: Final answer
    x = 275,567.24

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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.