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Finding the Fourth Proportional to 580,378.32, 801,000.24 and 325,743.44

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Solution

The fourth proportional to 580,378.32, 801,000.24 and 325,743.44 is: 449,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,378.32 : 801,000.24 = 325,743.44 : x
  2. Step 2: Convert to fraction form
    580,378.32/801,000.24 = 325,743.44/x
  3. Step 3: Cross multiply
    580,378.32x = 801,000.24 × 325,743.44
  4. Step 4: Simplify right side
    580,378.32x = 260,920,573,618.43
  5. Step 5: Solve for x
    x = 260,920,573,618.43/580,378.32
  6. Step 6: Final answer
    x = 449,569.81

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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.