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Finding the Fourth Proportional to 678,430.80, 1,017,793.80 and 205,103.80

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Solution

The fourth proportional to 678,430.80, 1,017,793.80 and 205,103.80 is: 307,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,430.80 : 1,017,793.80 = 205,103.80 : x
  2. Step 2: Convert to fraction form
    678,430.80/1,017,793.80 = 205,103.80/x
  3. Step 3: Cross multiply
    678,430.80x = 1,017,793.80 × 205,103.80
  4. Step 4: Simplify right side
    678,430.80x = 208,753,375,996.44
  5. Step 5: Solve for x
    x = 208,753,375,996.44/678,430.80
  6. Step 6: Final answer
    x = 307,700.32

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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.