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Finding the Fourth Proportional to 288,845.08, 433,276.50 and 78,487.48

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Solution

The fourth proportional to 288,845.08, 433,276.50 and 78,487.48 is: 117,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,845.08 : 433,276.50 = 78,487.48 : x
  2. Step 2: Convert to fraction form
    288,845.08/433,276.50 = 78,487.48/x
  3. Step 3: Cross multiply
    288,845.08x = 433,276.50 × 78,487.48
  4. Step 4: Simplify right side
    288,845.08x = 34,006,780,628.22
  5. Step 5: Solve for x
    x = 34,006,780,628.22/288,845.08
  6. Step 6: Final answer
    x = 117,733.63

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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.