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Finding the Fourth Proportional to 610,198.49, 914,662.29 and 205,089.95

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Solution

The fourth proportional to 610,198.49, 914,662.29 and 205,089.95 is: 307,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,198.49 : 914,662.29 = 205,089.95 : x
  2. Step 2: Convert to fraction form
    610,198.49/914,662.29 = 205,089.95/x
  3. Step 3: Cross multiply
    610,198.49x = 914,662.29 × 205,089.95
  4. Step 4: Simplify right side
    610,198.49x = 187,588,043,322.99
  5. Step 5: Solve for x
    x = 187,588,043,322.99/610,198.49
  6. Step 6: Final answer
    x = 307,421.35

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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.