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Finding the Fourth Proportional to 403,215.10, 603,947.85 and 333,231.10

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Solution

The fourth proportional to 403,215.10, 603,947.85 and 333,231.10 is: 499,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,215.10 : 603,947.85 = 333,231.10 : x
  2. Step 2: Convert to fraction form
    403,215.10/603,947.85 = 333,231.10/x
  3. Step 3: Cross multiply
    403,215.10x = 603,947.85 × 333,231.10
  4. Step 4: Simplify right side
    403,215.10x = 201,254,206,398.14
  5. Step 5: Solve for x
    x = 201,254,206,398.14/403,215.10
  6. Step 6: Final answer
    x = 499,123.68

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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.