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Finding the Fourth Proportional to 507,229.96, 699,999.48 and 280,875.46

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Solution

The fourth proportional to 507,229.96, 699,999.48 and 280,875.46 is: 387,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,229.96 : 699,999.48 = 280,875.46 : x
  2. Step 2: Convert to fraction form
    507,229.96/699,999.48 = 280,875.46/x
  3. Step 3: Cross multiply
    507,229.96x = 699,999.48 × 280,875.46
  4. Step 4: Simplify right side
    507,229.96x = 196,612,675,944.76
  5. Step 5: Solve for x
    x = 196,612,675,944.76/507,229.96
  6. Step 6: Final answer
    x = 387,620.39

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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.