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Finding the Fourth Proportional to 465,810.17, 642,773.34 and 261,814.10

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Solution

The fourth proportional to 465,810.17, 642,773.34 and 261,814.10 is: 361,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,810.17 : 642,773.34 = 261,814.10 : x
  2. Step 2: Convert to fraction form
    465,810.17/642,773.34 = 261,814.10/x
  3. Step 3: Cross multiply
    465,810.17x = 642,773.34 × 261,814.10
  4. Step 4: Simplify right side
    465,810.17x = 168,287,120,302.23
  5. Step 5: Solve for x
    x = 168,287,120,302.23/465,810.17
  6. Step 6: Final answer
    x = 361,278.33

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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.