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Finding the Fourth Proportional to 363,206.80, 544,810.20 and 205,742.80

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Solution

The fourth proportional to 363,206.80, 544,810.20 and 205,742.80 is: 308,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,206.80 : 544,810.20 = 205,742.80 : x
  2. Step 2: Convert to fraction form
    363,206.80/544,810.20 = 205,742.80/x
  3. Step 3: Cross multiply
    363,206.80x = 544,810.20 × 205,742.80
  4. Step 4: Simplify right side
    363,206.80x = 112,090,776,016.56
  5. Step 5: Solve for x
    x = 112,090,776,016.56/363,206.80
  6. Step 6: Final answer
    x = 308,614.20

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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.