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Finding the Fourth Proportional to 320,592.92, 442,434.38 and 193,309.56

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Solution

The fourth proportional to 320,592.92, 442,434.38 and 193,309.56 is: 266,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,592.92 : 442,434.38 = 193,309.56 : x
  2. Step 2: Convert to fraction form
    320,592.92/442,434.38 = 193,309.56/x
  3. Step 3: Cross multiply
    320,592.92x = 442,434.38 × 193,309.56
  4. Step 4: Simplify right side
    320,592.92x = 85,526,795,326.67
  5. Step 5: Solve for x
    x = 85,526,795,326.67/320,592.92
  6. Step 6: Final answer
    x = 266,776.93

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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.