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Finding the Fourth Proportional to 432,914.70, 649,372.05 and 432,914.70

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Solution

The fourth proportional to 432,914.70, 649,372.05 and 432,914.70 is: 649,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,914.70 : 649,372.05 = 432,914.70 : x
  2. Step 2: Convert to fraction form
    432,914.70/649,372.05 = 432,914.70/x
  3. Step 3: Cross multiply
    432,914.70x = 649,372.05 × 432,914.70
  4. Step 4: Simplify right side
    432,914.70x = 281,122,706,214.14
  5. Step 5: Solve for x
    x = 281,122,706,214.14/432,914.70
  6. Step 6: Final answer
    x = 649,372.05

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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.