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Finding the Fourth Proportional to 432,006.70, 648,010.05 and 412,323.70

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Solution

The fourth proportional to 432,006.70, 648,010.05 and 412,323.70 is: 618,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,006.70 : 648,010.05 = 412,323.70 : x
  2. Step 2: Convert to fraction form
    432,006.70/648,010.05 = 412,323.70/x
  3. Step 3: Cross multiply
    432,006.70x = 648,010.05 × 412,323.70
  4. Step 4: Simplify right side
    432,006.70x = 267,189,901,453.19
  5. Step 5: Solve for x
    x = 267,189,901,453.19/432,006.70
  6. Step 6: Final answer
    x = 618,485.55

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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.