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Finding the Fourth Proportional to 465,864.84, 642,858.12 and 261,883.44

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Solution

The fourth proportional to 465,864.84, 642,858.12 and 261,883.44 is: 361,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,864.84 : 642,858.12 = 261,883.44 : x
  2. Step 2: Convert to fraction form
    465,864.84/642,858.12 = 261,883.44/x
  3. Step 3: Cross multiply
    465,864.84x = 642,858.12 × 261,883.44
  4. Step 4: Simplify right side
    465,864.84x = 168,353,895,897.53
  5. Step 5: Solve for x
    x = 168,353,895,897.53/465,864.84
  6. Step 6: Final answer
    x = 361,379.27

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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.