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Finding the Fourth Proportional to 531,879.75, 733,994.06 and 340,893.15

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Solution

The fourth proportional to 531,879.75, 733,994.06 and 340,893.15 is: 470,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,879.75 : 733,994.06 = 340,893.15 : x
  2. Step 2: Convert to fraction form
    531,879.75/733,994.06 = 340,893.15/x
  3. Step 3: Cross multiply
    531,879.75x = 733,994.06 × 340,893.15
  4. Step 4: Simplify right side
    531,879.75x = 250,213,541,820.25
  5. Step 5: Solve for x
    x = 250,213,541,820.25/531,879.75
  6. Step 6: Final answer
    x = 470,432.54

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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.