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Finding the Fourth Proportional to 385,893.17, 532,362.94 and 232,846

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Solution

The fourth proportional to 385,893.17, 532,362.94 and 232,846 is: 321,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,893.17 : 532,362.94 = 232,846 : x
  2. Step 2: Convert to fraction form
    385,893.17/532,362.94 = 232,846/x
  3. Step 3: Cross multiply
    385,893.17x = 532,362.94 × 232,846
  4. Step 4: Simplify right side
    385,893.17x = 123,958,581,127.24
  5. Step 5: Solve for x
    x = 123,958,581,127.24/385,893.17
  6. Step 6: Final answer
    x = 321,225.12

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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.