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Finding the Fourth Proportional to 490,998.70, 736,826.10 and 224,622.10

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Solution

The fourth proportional to 490,998.70, 736,826.10 and 224,622.10 is: 337,083.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,998.70 : 736,826.10 = 224,622.10 : x
  2. Step 2: Convert to fraction form
    490,998.70/736,826.10 = 224,622.10/x
  3. Step 3: Cross multiply
    490,998.70x = 736,826.10 × 224,622.10
  4. Step 4: Simplify right side
    490,998.70x = 165,507,425,916.81
  5. Step 5: Solve for x
    x = 165,507,425,916.81/490,998.70
  6. Step 6: Final answer
    x = 337,083.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.