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Finding the Fourth Proportional to 506,195.82, 698,564.82 and 279,855.90

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Solution

The fourth proportional to 506,195.82, 698,564.82 and 279,855.90 is: 386,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,195.82 : 698,564.82 = 279,855.90 : x
  2. Step 2: Convert to fraction form
    506,195.82/698,564.82 = 279,855.90/x
  3. Step 3: Cross multiply
    506,195.82x = 698,564.82 × 279,855.90
  4. Step 4: Simplify right side
    506,195.82x = 195,497,486,409.44
  5. Step 5: Solve for x
    x = 195,497,486,409.44/506,195.82
  6. Step 6: Final answer
    x = 386,209.21

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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.