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Finding the Fourth Proportional to 610,196.49, 914,659.29 and 205,087.95

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Solution

The fourth proportional to 610,196.49, 914,659.29 and 205,087.95 is: 307,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,196.49 : 914,659.29 = 205,087.95 : x
  2. Step 2: Convert to fraction form
    610,196.49/914,659.29 = 205,087.95/x
  3. Step 3: Cross multiply
    610,196.49x = 914,659.29 × 205,087.95
  4. Step 4: Simplify right side
    610,196.49x = 187,585,598,734.56
  5. Step 5: Solve for x
    x = 187,585,598,734.56/610,196.49
  6. Step 6: Final answer
    x = 307,418.35

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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.