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Finding the Fourth Proportional to 309,511.38, 426,944.34 and 194,607.94

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Solution

The fourth proportional to 309,511.38, 426,944.34 and 194,607.94 is: 268,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,511.38 : 426,944.34 = 194,607.94 : x
  2. Step 2: Convert to fraction form
    309,511.38/426,944.34 = 194,607.94/x
  3. Step 3: Cross multiply
    309,511.38x = 426,944.34 × 194,607.94
  4. Step 4: Simplify right side
    309,511.38x = 83,086,759,983.34
  5. Step 5: Solve for x
    x = 83,086,759,983.34/309,511.38
  6. Step 6: Final answer
    x = 268,444.93

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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.