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Finding the Fourth Proportional to 509,686.44, 703,385.36 and 280,261.20

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Solution

The fourth proportional to 509,686.44, 703,385.36 and 280,261.20 is: 386,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,686.44 : 703,385.36 = 280,261.20 : x
  2. Step 2: Convert to fraction form
    509,686.44/703,385.36 = 280,261.20/x
  3. Step 3: Cross multiply
    509,686.44x = 703,385.36 × 280,261.20
  4. Step 4: Simplify right side
    509,686.44x = 197,131,625,056.03
  5. Step 5: Solve for x
    x = 197,131,625,056.03/509,686.44
  6. Step 6: Final answer
    x = 386,770.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.