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Finding the Fourth Proportional to 512,857.80, 769,056.30 and 197,209.80

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Solution

The fourth proportional to 512,857.80, 769,056.30 and 197,209.80 is: 295,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,857.80 : 769,056.30 = 197,209.80 : x
  2. Step 2: Convert to fraction form
    512,857.80/769,056.30 = 197,209.80/x
  3. Step 3: Cross multiply
    512,857.80x = 769,056.30 × 197,209.80
  4. Step 4: Simplify right side
    512,857.80x = 151,665,439,111.74
  5. Step 5: Solve for x
    x = 151,665,439,111.74/512,857.80
  6. Step 6: Final answer
    x = 295,726.10

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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.