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Finding the Fourth Proportional to 627,820.80, 941,731.20 and 206,995.20

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Solution

The fourth proportional to 627,820.80, 941,731.20 and 206,995.20 is: 310,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,820.80 : 941,731.20 = 206,995.20 : x
  2. Step 2: Convert to fraction form
    627,820.80/941,731.20 = 206,995.20/x
  3. Step 3: Cross multiply
    627,820.80x = 941,731.20 × 206,995.20
  4. Step 4: Simplify right side
    627,820.80x = 194,933,838,090.24
  5. Step 5: Solve for x
    x = 194,933,838,090.24/627,820.80
  6. Step 6: Final answer
    x = 310,492.80

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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.