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Finding the Fourth Proportional to 432,007.70, 648,011.55 and 412,324.70

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Solution

The fourth proportional to 432,007.70, 648,011.55 and 412,324.70 is: 618,487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,007.70 : 648,011.55 = 412,324.70 : x
  2. Step 2: Convert to fraction form
    432,007.70/648,011.55 = 412,324.70/x
  3. Step 3: Cross multiply
    432,007.70x = 648,011.55 × 412,324.70
  4. Step 4: Simplify right side
    432,007.70x = 267,191,167,950.29
  5. Step 5: Solve for x
    x = 267,191,167,950.29/432,007.70
  6. Step 6: Final answer
    x = 618,487.05

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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.