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Finding the Fourth Proportional to 289,191.34, 433,861.80 and 169,349.50

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Solution

The fourth proportional to 289,191.34, 433,861.80 and 169,349.50 is: 254,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,191.34 : 433,861.80 = 169,349.50 : x
  2. Step 2: Convert to fraction form
    289,191.34/433,861.80 = 169,349.50/x
  3. Step 3: Cross multiply
    289,191.34x = 433,861.80 × 169,349.50
  4. Step 4: Simplify right side
    289,191.34x = 73,474,278,899.10
  5. Step 5: Solve for x
    x = 73,474,278,899.10/289,191.34
  6. Step 6: Final answer
    x = 254,068.05

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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.