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Finding the Fourth Proportional to 782,999.24, 1,080,487.76 and 460,647

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Solution

The fourth proportional to 782,999.24, 1,080,487.76 and 460,647 is: 635,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,999.24 : 1,080,487.76 = 460,647 : x
  2. Step 2: Convert to fraction form
    782,999.24/1,080,487.76 = 460,647/x
  3. Step 3: Cross multiply
    782,999.24x = 1,080,487.76 × 460,647
  4. Step 4: Simplify right side
    782,999.24x = 497,723,445,180.72
  5. Step 5: Solve for x
    x = 497,723,445,180.72/782,999.24
  6. Step 6: Final answer
    x = 635,662.74

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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.