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Finding the Fourth Proportional to 362,805.49, 500,677.57 and 199,468.90

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Solution

The fourth proportional to 362,805.49, 500,677.57 and 199,468.90 is: 275,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,805.49 : 500,677.57 = 199,468.90 : x
  2. Step 2: Convert to fraction form
    362,805.49/500,677.57 = 199,468.90/x
  3. Step 3: Cross multiply
    362,805.49x = 500,677.57 × 199,468.90
  4. Step 4: Simplify right side
    362,805.49x = 99,869,605,017.76
  5. Step 5: Solve for x
    x = 99,869,605,017.76/362,805.49
  6. Step 6: Final answer
    x = 275,270.38

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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.