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Finding the Fourth Proportional to 289,769.47, 434,318.25 and 109,740.49

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Solution

The fourth proportional to 289,769.47, 434,318.25 and 109,740.49 is: 164,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,769.47 : 434,318.25 = 109,740.49 : x
  2. Step 2: Convert to fraction form
    289,769.47/434,318.25 = 109,740.49/x
  3. Step 3: Cross multiply
    289,769.47x = 434,318.25 × 109,740.49
  4. Step 4: Simplify right side
    289,769.47x = 47,662,296,896.67
  5. Step 5: Solve for x
    x = 47,662,296,896.67/289,769.47
  6. Step 6: Final answer
    x = 164,483.50

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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.