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Finding the Fourth Proportional to 419,511, 579,144.06 and 326,169.76

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Solution

The fourth proportional to 419,511, 579,144.06 and 326,169.76 is: 450,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,511 : 579,144.06 = 326,169.76 : x
  2. Step 2: Convert to fraction form
    419,511/579,144.06 = 326,169.76/x
  3. Step 3: Cross multiply
    419,511x = 579,144.06 × 326,169.76
  4. Step 4: Simplify right side
    419,511x = 188,899,279,055.63
  5. Step 5: Solve for x
    x = 188,899,279,055.63/419,511
  6. Step 6: Final answer
    x = 450,284.45

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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.