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Finding the Fourth Proportional to 363,820.80, 545,731.20 and 223,658.40

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Solution

The fourth proportional to 363,820.80, 545,731.20 and 223,658.40 is: 335,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,820.80 : 545,731.20 = 223,658.40 : x
  2. Step 2: Convert to fraction form
    363,820.80/545,731.20 = 223,658.40/x
  3. Step 3: Cross multiply
    363,820.80x = 545,731.20 × 223,658.40
  4. Step 4: Simplify right side
    363,820.80x = 122,057,367,022.08
  5. Step 5: Solve for x
    x = 122,057,367,022.08/363,820.80
  6. Step 6: Final answer
    x = 335,487.60

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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.