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Finding the Fourth Proportional to 342,329.14, 472,377.78 and 189,343

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Solution

The fourth proportional to 342,329.14, 472,377.78 and 189,343 is: 261,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,329.14 : 472,377.78 = 189,343 : x
  2. Step 2: Convert to fraction form
    342,329.14/472,377.78 = 189,343/x
  3. Step 3: Cross multiply
    342,329.14x = 472,377.78 × 189,343
  4. Step 4: Simplify right side
    342,329.14x = 89,441,425,998.54
  5. Step 5: Solve for x
    x = 89,441,425,998.54/342,329.14
  6. Step 6: Final answer
    x = 261,273.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.