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Finding the Fourth Proportional to 506,577.88, 699,099.41 and 280,223.38

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Solution

The fourth proportional to 506,577.88, 699,099.41 and 280,223.38 is: 386,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,577.88 : 699,099.41 = 280,223.38 : x
  2. Step 2: Convert to fraction form
    506,577.88/699,099.41 = 280,223.38/x
  3. Step 3: Cross multiply
    506,577.88x = 699,099.41 × 280,223.38
  4. Step 4: Simplify right side
    506,577.88x = 195,903,994,729.59
  5. Step 5: Solve for x
    x = 195,903,994,729.59/506,577.88
  6. Step 6: Final answer
    x = 386,720.39

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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.