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Finding the Fourth Proportional to 567,947.30, 850,411.89 and 343,003.41

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Solution

The fourth proportional to 567,947.30, 850,411.89 and 343,003.41 is: 513,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,947.30 : 850,411.89 = 343,003.41 : x
  2. Step 2: Convert to fraction form
    567,947.30/850,411.89 = 343,003.41/x
  3. Step 3: Cross multiply
    567,947.30x = 850,411.89 × 343,003.41
  4. Step 4: Simplify right side
    567,947.30x = 291,694,178,174.55
  5. Step 5: Solve for x
    x = 291,694,178,174.55/567,947.30
  6. Step 6: Final answer
    x = 513,593.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.