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Finding the Fourth Proportional to 289,019.39, 433,520.95 and 78,659.15

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Solution

The fourth proportional to 289,019.39, 433,520.95 and 78,659.15 is: 117,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,019.39 : 433,520.95 = 78,659.15 : x
  2. Step 2: Convert to fraction form
    289,019.39/433,520.95 = 78,659.15/x
  3. Step 3: Cross multiply
    289,019.39x = 433,520.95 × 78,659.15
  4. Step 4: Simplify right side
    289,019.39x = 34,100,389,434.19
  5. Step 5: Solve for x
    x = 34,100,389,434.19/289,019.39
  6. Step 6: Final answer
    x = 117,986.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.