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Finding the Fourth Proportional to 366,643.60, 550,402.80 and 206,846.80

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Solution

The fourth proportional to 366,643.60, 550,402.80 and 206,846.80 is: 310,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,643.60 : 550,402.80 = 206,846.80 : x
  2. Step 2: Convert to fraction form
    366,643.60/550,402.80 = 206,846.80/x
  3. Step 3: Cross multiply
    366,643.60x = 550,402.80 × 206,846.80
  4. Step 4: Simplify right side
    366,643.60x = 113,849,057,891.04
  5. Step 5: Solve for x
    x = 113,849,057,891.04/366,643.60
  6. Step 6: Final answer
    x = 310,516.96

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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.