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Finding the Fourth Proportional to 289,945.40, 434,939.70 and 102,932.60

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Solution

The fourth proportional to 289,945.40, 434,939.70 and 102,932.60 is: 154,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,945.40 : 434,939.70 = 102,932.60 : x
  2. Step 2: Convert to fraction form
    289,945.40/434,939.70 = 102,932.60/x
  3. Step 3: Cross multiply
    289,945.40x = 434,939.70 × 102,932.60
  4. Step 4: Simplify right side
    289,945.40x = 44,769,474,164.22
  5. Step 5: Solve for x
    x = 44,769,474,164.22/289,945.40
  6. Step 6: Final answer
    x = 154,406.57

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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.