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Finding the Fourth Proportional to 301,869.36, 416,577.60 and 165,904.56

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Solution

The fourth proportional to 301,869.36, 416,577.60 and 165,904.56 is: 228,947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,869.36 : 416,577.60 = 165,904.56 : x
  2. Step 2: Convert to fraction form
    301,869.36/416,577.60 = 165,904.56/x
  3. Step 3: Cross multiply
    301,869.36x = 416,577.60 × 165,904.56
  4. Step 4: Simplify right side
    301,869.36x = 69,112,123,433.86
  5. Step 5: Solve for x
    x = 69,112,123,433.86/301,869.36
  6. Step 6: Final answer
    x = 228,947.13

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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.