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Finding the Fourth Proportional to 301,296.47, 415,775.16 and 165,327.03

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Solution

The fourth proportional to 301,296.47, 415,775.16 and 165,327.03 is: 228,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,296.47 : 415,775.16 = 165,327.03 : x
  2. Step 2: Convert to fraction form
    301,296.47/415,775.16 = 165,327.03/x
  3. Step 3: Cross multiply
    301,296.47x = 415,775.16 × 165,327.03
  4. Step 4: Simplify right side
    301,296.47x = 68,738,872,350.57
  5. Step 5: Solve for x
    x = 68,738,872,350.57/301,296.47
  6. Step 6: Final answer
    x = 228,143.64

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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.