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Finding the Fourth Proportional to 301,870.62, 416,591.44 and 165,909.39

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Solution

The fourth proportional to 301,870.62, 416,591.44 and 165,909.39 is: 228,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,870.62 : 416,591.44 = 165,909.39 : x
  2. Step 2: Convert to fraction form
    301,870.62/416,591.44 = 165,909.39/x
  3. Step 3: Cross multiply
    301,870.62x = 416,591.44 × 165,909.39
  4. Step 4: Simplify right side
    301,870.62x = 69,116,430,334.79
  5. Step 5: Solve for x
    x = 69,116,430,334.79/301,870.62
  6. Step 6: Final answer
    x = 228,960.44

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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.