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Finding the Fourth Proportional to 580,447.02, 800,972.94 and 325,749

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Solution

The fourth proportional to 580,447.02, 800,972.94 and 325,749 is: 449,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,447.02 : 800,972.94 = 325,749 : x
  2. Step 2: Convert to fraction form
    580,447.02/800,972.94 = 325,749/x
  3. Step 3: Cross multiply
    580,447.02x = 800,972.94 × 325,749
  4. Step 4: Simplify right side
    580,447.02x = 260,916,134,232.06
  5. Step 5: Solve for x
    x = 260,916,134,232.06/580,447.02
  6. Step 6: Final answer
    x = 449,508.96

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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.