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Finding the Fourth Proportional to 288,941.75, 433,486.57 and 169,099.62

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Solution

The fourth proportional to 288,941.75, 433,486.57 and 169,099.62 is: 253,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,941.75 : 433,486.57 = 169,099.62 : x
  2. Step 2: Convert to fraction form
    288,941.75/433,486.57 = 169,099.62/x
  3. Step 3: Cross multiply
    288,941.75x = 433,486.57 × 169,099.62
  4. Step 4: Simplify right side
    288,941.75x = 73,302,412,530.84
  5. Step 5: Solve for x
    x = 73,302,412,530.84/288,941.75
  6. Step 6: Final answer
    x = 253,692.70

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Why These Related Problems?

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