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Finding the Fourth Proportional to 340,326, 469,649.88 and 189,419.76

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Solution

The fourth proportional to 340,326, 469,649.88 and 189,419.76 is: 261,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,326 : 469,649.88 = 189,419.76 : x
  2. Step 2: Convert to fraction form
    340,326/469,649.88 = 189,419.76/x
  3. Step 3: Cross multiply
    340,326x = 469,649.88 × 189,419.76
  4. Step 4: Simplify right side
    340,326x = 88,960,967,553.63
  5. Step 5: Solve for x
    x = 88,960,967,553.63/340,326
  6. Step 6: Final answer
    x = 261,399.27

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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.