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Finding the Fourth Proportional to 363,852.42, 545,877.09 and 206,191.59

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Solution

The fourth proportional to 363,852.42, 545,877.09 and 206,191.59 is: 309,343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,852.42 : 545,877.09 = 206,191.59 : x
  2. Step 2: Convert to fraction form
    363,852.42/545,877.09 = 206,191.59/x
  3. Step 3: Cross multiply
    363,852.42x = 545,877.09 × 206,191.59
  4. Step 4: Simplify right side
    363,852.42x = 112,555,263,084.63
  5. Step 5: Solve for x
    x = 112,555,263,084.63/363,852.42
  6. Step 6: Final answer
    x = 309,343.18

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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.