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Finding the Fourth Proportional to 385,906.51, 579,389.99 and 196,494.13

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Solution

The fourth proportional to 385,906.51, 579,389.99 and 196,494.13 is: 295,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,906.51 : 579,389.99 = 196,494.13 : x
  2. Step 2: Convert to fraction form
    385,906.51/579,389.99 = 196,494.13/x
  3. Step 3: Cross multiply
    385,906.51x = 579,389.99 × 196,494.13
  4. Step 4: Simplify right side
    385,906.51x = 113,846,732,015.76
  5. Step 5: Solve for x
    x = 113,846,732,015.76/385,906.51
  6. Step 6: Final answer
    x = 295,011.17

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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.