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Finding the Fourth Proportional to 465,386.89, 642,049.22 and 269,117.10

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Solution

The fourth proportional to 465,386.89, 642,049.22 and 269,117.10 is: 371,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,386.89 : 642,049.22 = 269,117.10 : x
  2. Step 2: Convert to fraction form
    465,386.89/642,049.22 = 269,117.10/x
  3. Step 3: Cross multiply
    465,386.89x = 642,049.22 × 269,117.10
  4. Step 4: Simplify right side
    465,386.89x = 172,786,420,933.42
  5. Step 5: Solve for x
    x = 172,786,420,933.42/465,386.89
  6. Step 6: Final answer
    x = 371,274.80

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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.