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Finding the Fourth Proportional to 465,491.67, 642,379.05 and 264,287.67

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Solution

The fourth proportional to 465,491.67, 642,379.05 and 264,287.67 is: 364,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,491.67 : 642,379.05 = 264,287.67 : x
  2. Step 2: Convert to fraction form
    465,491.67/642,379.05 = 264,287.67/x
  3. Step 3: Cross multiply
    465,491.67x = 642,379.05 × 264,287.67
  4. Step 4: Simplify right side
    465,491.67x = 169,772,862,381.31
  5. Step 5: Solve for x
    x = 169,772,862,381.31/465,491.67
  6. Step 6: Final answer
    x = 364,717.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.