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Finding the Fourth Proportional to 301,027.68, 415,108.10 and 210,350.60

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Solution

The fourth proportional to 301,027.68, 415,108.10 and 210,350.60 is: 290,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,027.68 : 415,108.10 = 210,350.60 : x
  2. Step 2: Convert to fraction form
    301,027.68/415,108.10 = 210,350.60/x
  3. Step 3: Cross multiply
    301,027.68x = 415,108.10 × 210,350.60
  4. Step 4: Simplify right side
    301,027.68x = 87,318,237,899.86
  5. Step 5: Solve for x
    x = 87,318,237,899.86/301,027.68
  6. Step 6: Final answer
    x = 290,067.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.