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Finding the Fourth Proportional to 363,095.68, 543,710.40 and 222,427.84

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Solution

The fourth proportional to 363,095.68, 543,710.40 and 222,427.84 is: 333,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,095.68 : 543,710.40 = 222,427.84 : x
  2. Step 2: Convert to fraction form
    363,095.68/543,710.40 = 222,427.84/x
  3. Step 3: Cross multiply
    363,095.68x = 543,710.40 × 222,427.84
  4. Step 4: Simplify right side
    363,095.68x = 120,936,329,857.54
  5. Step 5: Solve for x
    x = 120,936,329,857.54/363,095.68
  6. Step 6: Final answer
    x = 333,070.14

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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.