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Finding the Fourth Proportional to 457,906.80, 686,860.20 and 205,186.80

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Solution

The fourth proportional to 457,906.80, 686,860.20 and 205,186.80 is: 307,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,906.80 : 686,860.20 = 205,186.80 : x
  2. Step 2: Convert to fraction form
    457,906.80/686,860.20 = 205,186.80/x
  3. Step 3: Cross multiply
    457,906.80x = 686,860.20 × 205,186.80
  4. Step 4: Simplify right side
    457,906.80x = 140,934,646,485.36
  5. Step 5: Solve for x
    x = 140,934,646,485.36/457,906.80
  6. Step 6: Final answer
    x = 307,780.20

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Similar ratio
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1.5x scale

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.