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Finding the Fourth Proportional to 605,029.24, 834,908.65 and 333,044.01

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Solution

The fourth proportional to 605,029.24, 834,908.65 and 333,044.01 is: 459,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,029.24 : 834,908.65 = 333,044.01 : x
  2. Step 2: Convert to fraction form
    605,029.24/834,908.65 = 333,044.01/x
  3. Step 3: Cross multiply
    605,029.24x = 834,908.65 × 333,044.01
  4. Step 4: Simplify right side
    605,029.24x = 278,061,324,779.69
  5. Step 5: Solve for x
    x = 278,061,324,779.69/605,029.24
  6. Step 6: Final answer
    x = 459,583.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.