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Finding the Fourth Proportional to 465,845.58, 642,863.01 and 261,897.39

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Solution

The fourth proportional to 465,845.58, 642,863.01 and 261,897.39 is: 361,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,845.58 : 642,863.01 = 261,897.39 : x
  2. Step 2: Convert to fraction form
    465,845.58/642,863.01 = 261,897.39/x
  3. Step 3: Cross multiply
    465,845.58x = 642,863.01 × 261,897.39
  4. Step 4: Simplify right side
    465,845.58x = 168,364,146,053.70
  5. Step 5: Solve for x
    x = 168,364,146,053.70/465,845.58
  6. Step 6: Final answer
    x = 361,416.21

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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.